Beginning and Intermediate Algebra (6th Edition)
6th Edition
ISBN: 9780321969163
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Publisher: PEARSON
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Concept explainers
Question
Chapter 4.6, Problem 90E
To determine
The square found in Exercise 85 must be equal to the polynomial found in Exercise 89.
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
Make Sense? In Exercises 135–138, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
135. Knowing the difference between factors and terms is
important: In (3x?y)“, I can distribute the exponent 2 on
each factor, but in (3x² + y)', I cannot do the same thing
on each term.
136. I used the FOIL method to find the product of x + 5 and
x + 2x + 1.
137. Instead of using the formula for the square of a binomial
sum, I prefer to write the binomial sum twice and then
apply the FOIL method.
138. Special-product formulas have patterns that make
their multiplications quicker than using the FOIL
method.
Make Sense? In Exercises 135–138, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
135. I use the same ideas to multiply (V2 + 5) (V2 + 4) that I
did to find the binomial product (x + 5)(x + 4).
136. I used a special-product formula and simplified as follows:
(V2 + V5)? = 2 + 5 = 7.
137. In some cases when I multiply a square root expression and
its conjugate, the simplified product contains a radical.
138. I use the fact that 1 is the multiplicative identity to both
rationalize denominators and rewrite rational expressions
with a common denominator.
Exercises 143–145 will help you prepare for the material covered
in the next section. In each exercise, factor completely.
143. 2r + 8x? + 8x
144. 5x3 – 40x?y + 35xy2
145. 96?x + 9b²y – 16x – 16y
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Chapter 4 Solutions
Beginning and Intermediate Algebra (6th Edition)
Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Prob. 3ECh. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 7ECh. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 9ECh. 4.1 - Write each expression in exponential form. See...
Ch. 4.1 - Prob. 11ECh. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 13ECh. 4.1 - 14. Explain how the expressions are different.
Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Identify the base and the exponent of each...Ch. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - Prob. 35ECh. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Prob. 39ECh. 4.1 - Prob. 40ECh. 4.1 - Prob. 41ECh. 4.1 - Prob. 42ECh. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Prob. 44ECh. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Prob. 49ECh. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Prob. 52ECh. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Prob. 54ECh. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Prob. 56ECh. 4.1 - Use the power rules for exponents to simplify each...Ch. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.1 - Simplify each expression. See Example 7.
67.
Ch. 4.1 - Simplify each expression. See Example 7....Ch. 4.1 - Prob. 69ECh. 4.1 - Simplify each expression. See Example 7.
70.
Ch. 4.1 - Simplify each expression. See Example 7....Ch. 4.1 - Prob. 72ECh. 4.1 - Simplify each expression. See Example 7.
73.
Ch. 4.1 - Prob. 74ECh. 4.1 - Simplify each expression. See Example 7. (6x2y3)5Ch. 4.1 - Simplify each expression. See Example 7. (5r5t6)7Ch. 4.1 - Simplify each expression. See Example 7....Ch. 4.1 - Prob. 78ECh. 4.1 - Simplify each expression. See Example 7.
79.
Ch. 4.1 - Prob. 80ECh. 4.1 - Simplify each expression. See Example 7.
81.
Ch. 4.1 - Prob. 82ECh. 4.1 - Prob. 83ECh. 4.1 - Prob. 84ECh. 4.1 - Prob. 85ECh. 4.1 - Prob. 86ECh. 4.1 - Prob. 87ECh. 4.1 - Prob. 88ECh. 4.1 - Prob. 89ECh. 4.1 - Prob. 90ECh. 4.1 - Prob. 91ECh. 4.1 - Prob. 92ECh. 4.1 - Prob. 93ECh. 4.1 - Prob. 94ECh. 4.1 - Prob. 95ECh. 4.1 - Prob. 96ECh. 4.2 - Concept Check Decide whether each expression is...Ch. 4.2 - Prob. 2ECh. 4.2 - Concept Check Decide whether each expression is...Ch. 4.2 - Concept Check Decide whether each expression is...Ch. 4.2 - Concept Check Decide whether each expression is...Ch. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Prob. 10ECh. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Prob. 14ECh. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Decide whether each expression is equal to 0, 1,...Ch. 4.2 - Prob. 18ECh. 4.2 - Prob. 19ECh. 4.2 - Prob. 20ECh. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Prob. 30ECh. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - Prob. 36ECh. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - Prob. 50ECh. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Prob. 58ECh. 4.2 - Prob. 59ECh. 4.2 - Prob. 60ECh. 4.2 - Prob. 61ECh. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Prob. 65ECh. 4.2 - Prob. 66ECh. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Prob. 85ECh. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - Simplify each expression. Assume that all...Ch. 4.2 - 89. Concept Check A student simplified as...Ch. 4.2 - Prob. 90ECh. 4.2 - Extending Skills Simplify each expression. Assume...Ch. 4.2 - Extending Skills Simplify each expression. Assume...Ch. 4.2 - Extending Skills Simplify each expression. Assume...Ch. 4.2 - Extending Skills Simplify each expression. Assume...Ch. 4.2 - Extending Skills Simplify each expression. Assume...Ch. 4.2 - Extending Skills Simplify each expression. Assume...Ch. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - 11. Concept Check Write each number in scientific...Ch. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - Prob. 20ECh. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - Write each number in standard notation. See...Ch. 4.3 - Prob. 28ECh. 4.3 - Prob. 29ECh. 4.3 - Write each number in standard notation. See...Ch. 4.3 - Prob. 31ECh. 4.3 - Write each number in standard notation. See...Ch. 4.3 - Write each number in standard notation. See...Ch. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Write each number in standard notation. See...Ch. 4.3 - Write each number in standard notation. See...Ch. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 42ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 44ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 46ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 48ECh. 4.3 - Prob. 49ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 51ECh. 4.3 - Prob. 52ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 57ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 60ECh. 4.3 - Perform the indicated operations. Write each...Ch. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Calculators can express numbers in scientific...Ch. 4.3 - Prob. 65ECh. 4.3 - Calculators can express numbers in scientific...Ch. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Extending Skills Use scientific notation to...Ch. 4.3 - Prob. 70ECh. 4.3 - Extending Skills Use scientific notation to...Ch. 4.3 - Prob. 72ECh. 4.3 - Extending Skills Use scientific notation to...Ch. 4.3 - Extending Skills Use scientific notation to...Ch. 4.3 - Each statement contains a number in boldface...Ch. 4.3 - Prob. 76ECh. 4.3 - Each statement contains a number in boldface...Ch. 4.3 - Each statement contains a number in boldface...Ch. 4.3 - Use scientific notation to calculate the answer to...Ch. 4.3 - Prob. 80ECh. 4.3 - Use scientific notation to calculate the answer to...Ch. 4.3 - Prob. 82ECh. 4.3 - Prob. 83ECh. 4.3 - Use scientific notation to calculate the answer to...Ch. 4.3 - Prob. 85ECh. 4.3 - Use scientific notation to calculate the answer to...Ch. 4.3 - Prob. 87ECh. 4.3 - Prob. 88ECh. 4.3 - Use scientific notation to calculate the answer to...Ch. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - RELATING CONCEPTS For Individual or Group Work...Ch. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.4 - Prob. 10ECh. 4.4 - Prob. 11ECh. 4.4 - Prob. 12ECh. 4.4 - Prob. 13ECh. 4.4 - Prob. 14ECh. 4.4 - Prob. 15ECh. 4.4 - Prob. 16ECh. 4.4 - Prob. 17ECh. 4.4 - Prob. 18ECh. 4.4 - Prob. 19ECh. 4.4 - Prob. 20ECh. 4.4 - Prob. 21ECh. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - Prob. 25ECh. 4.4 - Prob. 26ECh. 4.4 - Prob. 27ECh. 4.4 - Prob. 28ECh. 4.4 - Prob. 29ECh. 4.4 - Prob. 30ECh. 4.4 - Prob. 31ECh. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - Prob. 34ECh. 4.4 - For each polynomial, first simplify, if possible,...Ch. 4.4 - Prob. 36ECh. 4.4 - Prob. 37ECh. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Prob. 40ECh. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Prob. 43ECh. 4.4 - Prob. 44ECh. 4.4 - Prob. 45ECh. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Prob. 49ECh. 4.4 - Prob. 50ECh. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.4 - Prob. 59ECh. 4.4 - Prob. 60ECh. 4.4 - Prob. 61ECh. 4.4 - Prob. 62ECh. 4.4 - Prob. 63ECh. 4.4 - Prob. 64ECh. 4.4 - Prob. 65ECh. 4.4 - Prob. 66ECh. 4.4 - Prob. 67ECh. 4.4 - Prob. 68ECh. 4.4 - Prob. 69ECh. 4.4 - Prob. 70ECh. 4.4 - Prob. 71ECh. 4.4 - Prob. 72ECh. 4.4 - Perform each indicated operation. See Examples 6,...Ch. 4.4 - Prob. 74ECh. 4.4 - Prob. 75ECh. 4.4 - Prob. 76ECh. 4.4 - Prob. 77ECh. 4.4 - Prob. 78ECh. 4.4 - Prob. 79ECh. 4.4 - Prob. 80ECh. 4.4 - Prob. 81ECh. 4.4 - Prob. 82ECh. 4.4 - Prob. 83ECh. 4.4 - Prob. 84ECh. 4.4 - Find a polynomial that represents the perimeter of...Ch. 4.4 - Prob. 86ECh. 4.4 - Prob. 87ECh. 4.4 - Prob. 88ECh. 4.4 - Prob. 89ECh. 4.4 - Find (a) a polynomial that represents the...Ch. 4.4 - Prob. 91ECh. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Prob. 95ECh. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 4.4 - Prob. 102ECh. 4.4 - Prob. 103ECh. 4.4 - Prob. 104ECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Concept Check Fill in each blank with the correct...Ch. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.5 - Concept Check Fill in each blank with the correct...Ch. 4.5 - Find each product. See Objective 1.
7.
Ch. 4.5 - Prob. 8ECh. 4.5 - Prob. 9ECh. 4.5 - Prob. 10ECh. 4.5 - Prob. 11ECh. 4.5 - Prob. 12ECh. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Prob. 15ECh. 4.5 - Prob. 16ECh. 4.5 - Prob. 17ECh. 4.5 - Prob. 18ECh. 4.5 - Prob. 19ECh. 4.5 - Prob. 20ECh. 4.5 - Prob. 21ECh. 4.5 - Prob. 22ECh. 4.5 - Prob. 23ECh. 4.5 - Prob. 24ECh. 4.5 - Prob. 25ECh. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Prob. 29ECh. 4.5 - Prob. 30ECh. 4.5 - Prob. 31ECh. 4.5 - Prob. 32ECh. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Prob. 36ECh. 4.5 - Find each product. See Examples 24....Ch. 4.5 - Find each product. See Examples 24....Ch. 4.5 - Find each product. See Examples 2–4.
39.
Ch. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4.5 - Prob. 43ECh. 4.5 - Prob. 44ECh. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Concept Check For the product (2p5)(3p+7), find...Ch. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - Prob. 57ECh. 4.5 - Prob. 58ECh. 4.5 - Prob. 59ECh. 4.5 - Prob. 60ECh. 4.5 - Prob. 61ECh. 4.5 - Prob. 62ECh. 4.5 - Prob. 63ECh. 4.5 - Prob. 64ECh. 4.5 - Prob. 65ECh. 4.5 - Prob. 66ECh. 4.5 - Prob. 67ECh. 4.5 - Prob. 68ECh. 4.5 - Prob. 69ECh. 4.5 - Prob. 70ECh. 4.5 - Prob. 71ECh. 4.5 - Prob. 72ECh. 4.5 - Prob. 73ECh. 4.5 - Prob. 74ECh. 4.5 - Prob. 75ECh. 4.5 - Prob. 76ECh. 4.5 - Prob. 77ECh. 4.5 - Prob. 78ECh. 4.5 - Prob. 79ECh. 4.5 - Prob. 80ECh. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Prob. 83ECh. 4.5 - Prob. 84ECh. 4.5 - Prob. 85ECh. 4.5 - Prob. 86ECh. 4.5 - Prob. 87ECh. 4.5 - Prob. 88ECh. 4.5 - Prob. 89ECh. 4.5 - Prob. 90ECh. 4.5 - Prob. 91ECh. 4.5 - Prob. 92ECh. 4.5 - Prob. 93ECh. 4.5 - Prob. 94ECh. 4.5 - Prob. 95ECh. 4.5 - Prob. 96ECh. 4.5 - Prob. 97ECh. 4.5 - Prob. 98ECh. 4.5 - Prob. 99ECh. 4.5 - Prob. 100ECh. 4.5 - Prob. 101ECh. 4.5 - Prob. 102ECh. 4.5 - Prob. 103ECh. 4.5 - Prob. 104ECh. 4.5 - Prob. 105ECh. 4.5 - Prob. 106ECh. 4.5 - Prob. 107ECh. 4.5 - Prob. 108ECh. 4.5 - Prob. 109ECh. 4.5 - Prob. 110ECh. 4.5 - Prob. 111ECh. 4.5 - Prob. 112ECh. 4.6 - Concept Check Consider the square of the binomial...Ch. 4.6 - Prob. 2ECh. 4.6 - Find each product. See Examples 1 and 2.
3.
Ch. 4.6 - Find each product. See Examples 1 and 2. (x+8)2Ch. 4.6 - Find each product. See Examples 1 and 2.
5.
Ch. 4.6 - Find each product. See Examples 1 and 2. (z5)2Ch. 4.6 - Find each product. See Examples 1 and 2.
7.
Ch. 4.6 - Find each product. See Examples 1 and 2.
8.
Ch. 4.6 - Find each product. See Examples 1 and 2. (5p+2q)2Ch. 4.6 - Find each product. See Examples 1 and 2.
10.
Ch. 4.6 - Find each product. See Examples 1 and 2.
11.
Ch. 4.6 - Find each product. See Examples 1 and 2. (9x4)2Ch. 4.6 - Find each product. See Examples 1 and 2.
13.
Ch. 4.6 - Find each product. See Examples 1 and 2. (9y+4z)2Ch. 4.6 - Find each product. See Examples 1 and 2.
15.
Ch. 4.6 - Find each product. See Examples 1 and 2.
16.
Ch. 4.6 - Prob. 17ECh. 4.6 - Find each product. See Examples 1 and 2.
18.
Ch. 4.6 - Find each product. See Examples 1 and 2.
19.
Ch. 4.6 - Find each product. See Examples 1 and 2.
20.
Ch. 4.6 - Find each product. See Examples 1 and 2. t(3t1)2Ch. 4.6 - Find each product. See Examples 1 and 2.
22.
Ch. 4.6 - Find each product. See Examples 1 and 2.
23.
Ch. 4.6 - Find each product. See Examples 1 and 2.
24.
Ch. 4.6 - Prob. 25ECh. 4.6 - Find each product. See Examples 1 and 2.
26.
Ch. 4.6 - Find each product. See Examples 3 and 4. (k+5)(k5)Ch. 4.6 - Find each product. See Examples 3 and 4.
28.
Ch. 4.6 - Find each product. See Examples 3 and 4.
29.
Ch. 4.6 - Find each product. See Examples 3 and 4....Ch. 4.6 - Find each product. See Examples 3 and 4.
31.
Ch. 4.6 - Find each product. See Examples 3 and 4.
32.
Ch. 4.6 - Find each product. See Examples 3 and 4.
33.
Ch. 4.6 - Find each product. See Examples 3 and 4.
34.
Ch. 4.6 - Find each product. See Examples 3 and 4....Ch. 4.6 - Find each product. See Examples 3 and 4....Ch. 4.6 - Find each product. See Examples 3 and 4.
37.
Ch. 4.6 - Find each product. See Examples 3 and 4....Ch. 4.6 - Find each product. See Examples 3 and 4.
39.
Ch. 4.6 - Find each product. See Examples 3 and 4....Ch. 4.6 - Prob. 41ECh. 4.6 - Prob. 42ECh. 4.6 - Prob. 43ECh. 4.6 - Prob. 44ECh. 4.6 - Prob. 45ECh. 4.6 - Prob. 46ECh. 4.6 - Prob. 47ECh. 4.6 - Prob. 48ECh. 4.6 - Prob. 49ECh. 4.6 - Prob. 50ECh. 4.6 - Prob. 51ECh. 4.6 - Prob. 52ECh. 4.6 - Prob. 53ECh. 4.6 - Prob. 54ECh. 4.6 - Prob. 55ECh. 4.6 - Prob. 56ECh. 4.6 - Prob. 57ECh. 4.6 - Prob. 58ECh. 4.6 - Prob. 59ECh. 4.6 - Prob. 60ECh. 4.6 - Prob. 61ECh. 4.6 - Prob. 62ECh. 4.6 - Prob. 63ECh. 4.6 - Prob. 64ECh. 4.6 - Prob. 65ECh. 4.6 - Prob. 66ECh. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Prob. 70ECh. 4.6 - Prob. 71ECh. 4.6 - Prob. 72ECh. 4.6 - Prob. 73ECh. 4.6 - Prob. 74ECh. 4.6 - Prob. 75ECh. 4.6 - Prob. 76ECh. 4.6 - Prob. 77ECh. 4.6 - Prob. 78ECh. 4.6 - Prob. 79ECh. 4.6 - Prob. 80ECh. 4.6 - Prob. 81ECh. 4.6 - Prob. 82ECh. 4.6 - Prob. 83ECh. 4.6 - Prob. 84ECh. 4.6 - Prob. 85ECh. 4.6 - Prob. 86ECh. 4.6 - Prob. 87ECh. 4.6 - Prob. 88ECh. 4.6 - Prob. 89ECh. 4.6 - Prob. 90ECh. 4.6 - Prob. 91ECh. 4.6 - Prob. 92ECh. 4.6 - Prob. 93ECh. 4.6 - Prob. 94ECh. 4.7 - Prob. 1ECh. 4.7 - Prob. 2ECh. 4.7 - Prob. 3ECh. 4.7 - Prob. 4ECh. 4.7 - Prob. 5ECh. 4.7 - Prob. 6ECh. 4.7 - Prob. 7ECh. 4.7 - Prob. 8ECh. 4.7 - Prob. 9ECh. 4.7 - Prob. 10ECh. 4.7 - Prob. 11ECh. 4.7 - Prob. 12ECh. 4.7 - Prob. 13ECh. 4.7 - Prob. 14ECh. 4.7 - Prob. 15ECh. 4.7 - Prob. 16ECh. 4.7 - Prob. 17ECh. 4.7 - Prob. 18ECh. 4.7 - Prob. 19ECh. 4.7 - Prob. 20ECh. 4.7 - Prob. 21ECh. 4.7 - Prob. 22ECh. 4.7 - Prob. 23ECh. 4.7 - Prob. 24ECh. 4.7 - Prob. 25ECh. 4.7 - Prob. 26ECh. 4.7 - Prob. 27ECh. 4.7 - Prob. 28ECh. 4.7 - Prob. 29ECh. 4.7 - Prob. 30ECh. 4.7 - Prob. 31ECh. 4.7 - Prob. 32ECh. 4.7 - Prob. 33ECh. 4.7 - Prob. 34ECh. 4.7 - Prob. 35ECh. 4.7 - Prob. 36ECh. 4.7 - Prob. 37ECh. 4.7 - Prob. 38ECh. 4.7 - Prob. 39ECh. 4.7 - Prob. 40ECh. 4.7 - Prob. 41ECh. 4.7 - Prob. 42ECh. 4.7 - Prob. 43ECh. 4.7 - Prob. 44ECh. 4.7 - Prob. 45ECh. 4.7 - Prob. 46ECh. 4.7 - Prob. 47ECh. 4.7 - Prob. 48ECh. 4.7 - Prob. 49ECh. 4.7 - Prob. 50ECh. 4.7 - Prob. 51ECh. 4.7 - Prob. 52ECh. 4.7 - Prob. 53ECh. 4.7 - Prob. 54ECh. 4.7 - Prob. 55ECh. 4.7 - Prob. 56ECh. 4.7 - Prob. 57ECh. 4.7 - Prob. 58ECh. 4.7 - Prob. 59ECh. 4.7 - Prob. 60ECh. 4.7 - Prob. 61ECh. 4.7 - Perform each division. See Examples 6–9.
62.
Ch. 4.7 - Prob. 63ECh. 4.7 - Prob. 64ECh. 4.7 - Prob. 65ECh. 4.7 - Prob. 66ECh. 4.7 - Prob. 67ECh. 4.7 - Prob. 68ECh. 4.7 - Prob. 69ECh. 4.7 - Prob. 70ECh. 4.7 - Prob. 71ECh. 4.7 - Prob. 72ECh. 4.7 - Perform each division. See Examples 69....Ch. 4.7 - Prob. 74ECh. 4.7 - Prob. 75ECh. 4.7 - Prob. 76ECh. 4.7 - Prob. 77ECh. 4.7 - Prob. 78ECh. 4.7 - Prob. 79ECh. 4.7 - Prob. 80ECh. 4.7 - Prob. 81ECh. 4.7 - Prob. 82ECh. 4.7 - Prob. 83ECh. 4.7 - Prob. 84ECh. 4 - See how well you have learned the vocabulary in...Ch. 4 - Prob. 2TYWPCh. 4 - Prob. 3TYWPCh. 4 - Prob. 4TYWPCh. 4 - Prob. 5TYWPCh. 4 - Prob. 6TYWPCh. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.1 Use the product rule, power rules, or both to...Ch. 4 - 4.2 Evaluate each expression.
13.
Ch. 4 - 4.2 Evaluate each expression. (23)0Ch. 4 - 4.2 Evaluate each expression. 60+(6)0Ch. 4 - 4.2 Evaluate each expression.
16.
Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - Simplify each expression. Assume that all...Ch. 4 - 4.3 Write each number in scientific...Ch. 4 - 4.3 Write each number in scientific notation....Ch. 4 - 4.3 Write each number in scientific...Ch. 4 - 4.3 Write each number in scientific notation....Ch. 4 - Write each number in standard notation. 2.4104Ch. 4 - Prob. 34RECh. 4 - Write each number in standard notation. 8.97107Ch. 4 - Write each number in standard notation. 7.6104Ch. 4 - Perform the indicated operations. Write each...Ch. 4 - Perform the indicated operations. Write each...Ch. 4 - Perform the indicated operations. Write each...Ch. 4 - Perform the indicated operations. Write each...Ch. 4 - Write each boldface italic number in standard...Ch. 4 - Write each boldface italic number in standard...Ch. 4 - Write each boldface italic number in scientific...Ch. 4 - Write each boldface italic number in scientific...Ch. 4 - 4.4 In Exercises 4547, simplify by combining like...Ch. 4 - 4.4 In Exercises 4547, simplify by combining like...Ch. 4 - 4.4 In Exercises 45–47, simplify by combining like...Ch. 4 - Add or subtract as indicated....Ch. 4 - Add or subtract as indicated....Ch. 4 - Add or subtract as indicated. Add. 2a3+5a23a3a2_Ch. 4 - Add or subtract as indicated. Subtract....Ch. 4 - Add or subtract as indicated. Subtract....Ch. 4 - Graph each equation by completing the table of...Ch. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Prob. 57RECh. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Prob. 60RECh. 4 - Prob. 61RECh. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Prob. 69RECh. 4 - Prob. 70RECh. 4 - Prob. 71RECh. 4 - Prob. 72RECh. 4 - Prob. 73RECh. 4 - Prob. 74RECh. 4 - Prob. 75RECh. 4 - Prob. 76RECh. 4 - Prob. 77RECh. 4 - Prob. 78RECh. 4 - Prob. 79RECh. 4 - Prob. 80RECh. 4 - Prob. 81RECh. 4 - Prob. 82RECh. 4 - Prob. 83RECh. 4 - Prob. 84RECh. 4 - Prob. 85RECh. 4 - Prob. 86RECh. 4 - Prob. 87RECh. 4 - Prob. 88RECh. 4 - Prob. 1MRECh. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Perform each indicated operation, or simplify each...Ch. 4 - Prob. 19MRECh. 4 - Prob. 20MRECh. 4 - Prob. 1TCh. 4 - Prob. 2TCh. 4 - Prob. 3TCh. 4 - Prob. 4TCh. 4 - Prob. 5TCh. 4 - Prob. 6TCh. 4 - Prob. 7TCh. 4 - Prob. 8TCh. 4 - Prob. 9TCh. 4 - Prob. 10TCh. 4 - Prob. 11TCh. 4 - Prob. 12TCh. 4 - Prob. 13TCh. 4 - Prob. 14TCh. 4 - Prob. 15TCh. 4 - Prob. 16TCh. 4 - Prob. 17TCh. 4 - Prob. 18TCh. 4 - Prob. 19TCh. 4 - Prob. 20TCh. 4 - Prob. 21TCh. 4 - Prob. 22TCh. 4 - Prob. 23TCh. 4 - Prob. 24TCh. 4 - Prob. 25TCh. 4 - Prob. 26TCh. 4 - Prob. 27TCh. 4 - Prob. 28TCh. 4 - Prob. 1CRECh. 4 - Prob. 2CRECh. 4 - Prob. 3CRECh. 4 - Prob. 4CRECh. 4 - Prob. 5CRECh. 4 - Prob. 6CRECh. 4 - Prob. 7CRECh. 4 - Prob. 8CRECh. 4 - Prob. 9CRECh. 4 - Name the property illustrated. 6(4+2)=6(4)+6(2)Ch. 4 - Prob. 11CRECh. 4 - Prob. 12CRECh. 4 - Prob. 13CRECh. 4 - Prob. 14CRECh. 4 - Prob. 15CRECh. 4 - Prob. 16CRECh. 4 - Prob. 17CRECh. 4 - Prob. 18CRECh. 4 - Prob. 19CRECh. 4 - Prob. 20CRECh. 4 - Prob. 21CRECh. 4 - Prob. 22CRECh. 4 - Prob. 23CRECh. 4 - Prob. 24CRECh. 4 - Prob. 25CRECh. 4 - Prob. 26CRECh. 4 - Prob. 27CRECh. 4 - Prob. 28CRECh. 4 - Prob. 29CRECh. 4 - Prob. 30CRECh. 4 - Prob. 31CRECh. 4 - Prob. 32CRE
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- In Exercises 126–129, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 126. Once a GCF is factored from 6y – 19y + 10y“, the remaining trinomial factor is prime. 127. One factor of 8y² – 51y + 18 is 8y – 3. 128. We can immediately tell that 6x? – 11xy – 10y? is prime because 11 is a prime number and the polynomial contains two variables. 129. A factor of 12x2 – 19xy + 5y² is 4x – y.arrow_forwardIn Exercises 133–136, factor each polynomial completely. Assume that any variable exponents represent whole numbers. 133. y + x + x + y 134. 36x2" – y2n 135. x* 3n 12n 136. 4x2" + 20x"y" + 25y2marrow_forwardFor Exercises 8–10, a. Simplify the expression. Do not rationalize the denominator. b. Find the values of x for which the expression equals zero. c. Find the values of x for which the denominator is zero. 4x(4x – 5) – 2x² (4) 8. -6x(6x + 1) – (–3x²)(6) (6x + 1)2 9. (4x – 5)? - 10. V4 – x² - -() 2)arrow_forward
- In Exercises 106–108, factor and simplify each algebraic expression. 106. 16x + 32r4 107. (x² – 4)(x² + 3) - (r? – 4)°(x² + 3)2 108. 12x+ 6xarrow_forwardIn Exercises 83–90, perform the indicated operation or operations. 83. (3x + 4y)? - (3x – 4y) 84. (5x + 2y) - (5x – 2y) 85. (5x – 7)(3x – 2) – (4x – 5)(6x – 1) 86. (3x + 5)(2x - 9) - (7x – 2)(x – 1) 87. (2x + 5)(2r - 5)(4x? + 25) 88. (3x + 4)(3x – 4)(9x² + 16) (2x – 7)5 89. (2x – 7) (5x – 3)6 90. (5x – 3)4arrow_forwardFor Exercises 13–20, factor each expression.arrow_forward
- For Exercises 115–120, factor the expressions over the set of complex numbers. For assistance, consider these examples. • In Section R.3 we saw that some expressions factor over the set of integers. For example: x - 4 = (x + 2)(x – 2). • Some expressions factor over the set of irrational numbers. For example: - 5 = (x + V5)(x – V5). To factor an expression such as x + 4, we need to factor over the set of complex numbers. For example, verify that x + 4 = (x + 2i)(x – 2i). 115. а. х - 9 116. а. х? - 100 117. а. х - 64 b. x + 9 b. + 100 b. x + 64 118. а. х — 25 119. а. х— 3 120. а. х — 11 b. x + 25 b. x + 3 b. x + 11arrow_forwardIn Exercises 34–37, solve each polynomial equation. 34. 3x? = 5x + 2 35. (5x + 4)(x – 1) = 2 36. 15x? – 5x = 0 37. x - 4x2 - x + 4 = 0arrow_forwardIn Exercises 30–33, factor the greatest common factor from each polynomial. 30. 16x3 + 24x² 31. 2x 36x2 32. 21x?y – 14xy² + 7xy 33. 18r'y? – 27x²yarrow_forward
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