In Exercises 108-109, write a polynomial that fits the given description. Do not use a polynomial that appeared in this section or in the Exercise Set. 108. The polynomial has three terms and can be factored using a greatest common factor that has both a negative coefficient and a variable. 109. The polynomial has four terms and can be factored by grouping.

Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 6-…

A: x intercepts are -3,-2,1 and 3. Y intercept is (0,2) At x intercept -3,-2 and 3, the graph crosses…

Q: when will the product or quotient of 2 integers be positive? when will it becomes negative?

A: Note: We have the integers like -7, 5 ,-4 etc. We have to consider three possible combinations for…

Q: 23 , make at least three x + 2 2. If the result of a polynomial division is 2x3 - 4x2 - 5x +…

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Q: Write an expression in factored form for the polynomial of least possible degree graphed below. 5+ 4…

A: From the given graph we can see that there are three points at which the given function is zero i.e…

Q: Write an informal explanation of the factor theorem.

A: Write an informal explanation of the factor theorem.

Q: Use a conceptual model for division to show why 1.2/0.3 = 4 A model/picture

A: To show 1.2/0.3=4 using a conceptual model for division.

Q: Determine whether each statement makes sense or does not make sense, and explain your reasoning.…

A: Determine whether each statement makes sense or does not make sense, and explain your reasoning.…

Q: A rectangular plot of farmland is to be constructed on one side of a river and with the other three…

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Q: what are terms of polynomials?

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Q: Define the term Factor Notation?

A: Factor, in mathematics, a number or algebraic expression that divides another number or expression…

Q: Explain how to subtract polynomials.

A: An expression is a variable, number or combination of numbers and variables and mathematical…

Q: Write an equation for the polynomial graphed bel 5+ 4+ 3+ 2+ 1- -5 4 -3 -2 2 3 4 5 -2+ -3 - -4+ -5+…

A: The polynomial has zeros at x= -4,-1,1, and 3, as the curve meet x-axis at x=-4,-1,1,3 Therefore,…

Q: 6. If 2 + 3 is a polynomial root, name another root of the polynomial, and explain how you know it…

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Q: Explain how to subtract polynomials ?

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Q: 16. If 2 + 3 is a polynomial root, name another root of the polynomial, and explain how you know it…

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Q: Describe the first thing that you should try doing when factoring a polynomial.

A: We have to describe the first thing that we do in factoring the polynomial.

Q: Match the correct word with the definition. A value that doesn't change. A polynomial with three…

A: Constant is a value that doesn't change. Trinomial is a polynomial with three terms. Coefficient is…

Q: Graph the polynomial in the given viewing rectangle. у 3 3x5 — 5х3 + 3, [-3, 3] by [-5, 10]

A: GIVEN: y = 3x5 - 5x3 + 3, [-3, 3] by [-5, 10]

Q: if 2 + square root 13 Is a polynomial root, name another root of the polynomial, and give an…

A: The Irrational Conjugates Root Theorem : Irrational roots always come in conjugate pairs.

Q: Exercises 108–110 will help you prepare for the material covered in the next section. 108. Multiply:…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: what are polynomials?

A: A polynomial is an algebraic expression with 2 or more terms with non-negative integer powers and…

Q: Do how 1. Find the degree, number of terms, name based on the number of terms, and write the…

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: In Exercises 105–107, factor each polynomial. Assume that all variable exponents represent whole…

A: We have to factorize the polynomial

Q: Explain how to find the degree of a polynomial in two variables.

A: We have to explain how to find the degree of a polynomial in two variables.

Q: Use Long Division: 64x3-27/4x-3

A: Given that      (64x3 - 27)/(4x - 3) We divide this by using long division method.

Q: 6x² +19x+13 2x +5 5.

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Q: Make up a polynomial that factors into a perfect square.

A: Let the polynomial be: x2-6x+9 We express it in the form of a perfect square as follows:…

Q: 14. If 2 +3 is a polynomial root, name another root of the polynomial, and explain how you know it…

A: Let's find.

Q: 4. Use long division to determine whether or not x+2 is a factor of:

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Q: The simplest type of polynomial multiplication involves a __Blank______  ____blank ______?

A: To determine the simplest type of polynomial multiplication

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning:…

A: Given divide condition -x5+1÷x+1If we dont do the long divide precidure and thinks in  our mind that…

Q: In Exercises 133–136, factor each polynomial completely. Assume that any variable exponents…

A: 133. y3+x+x3+ysolution. =x3+y3+x+y=x+y+x3+y3use a3+b3=(a+b)(a2-ab+b2)=x+y+(x+y)(x2-xy+y2)take (x+y)…

Q: write a polynomial in standard form that has the given zeros: 1,-2+√7, -2-√7

A: Given problem:- write a polynomial in standard form that has the given zeros: 1,-2+√7, -2-√7

Q: Every time I divide polynomials using synthetic division, I am using a highly condensed form of the…

A: Given : Divide the polynomial using synthetic division.

Q: Write an expression in factored form for the polynomial graphed below. 6+ 5+ -5 -4 -3 4. -1- -2+ -3…

A: Given query is to find the polynomial form the graph.

Q: Divide the first polynomial by the second polynomial using the long division method. Show your…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The process of writing a polynomial containing the sum of monomials as a product is called

A: The process of writing a polynomial containing sums of monomials as a product is called factoring.…

Q: Explain how to determine the leading coefficient of a polynomial.

A: The leading term is the term containing the highest power of the variable, or the term with the…

Q: Exercises 151–153 will help you prepare for the material covered in the next section. 151. Replace…

A: To solve 3x3.?=9x5, consider the question mark as a and obtain 3x3.a=9x5. Then, divide both sides by…

Q: (Зх — Зу) (х + 5у) (3х

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Q: how to find the polynomial interpolant of the data points: (3,4) (5,80) (7,188)?

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Q: What are polynomials and can you give me an example of a few?

A: Concept of polynomial is used .

Q: 5. If 2+ 3 is a polynomial root, name another root of the polynomial, and explain how you know it…

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Q: 8. (x'-20) (x-3)

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Q: What do we call a polynomial that is not factorable? *

A: A polynomial can be sometimes factored into lower degree polynomials. Ex: x2 + 5 x + 6 = (x + 2)(x +…

Q: True or False: When you complete synthetic division, the quotient is a polynomial that is one less…

A: When you complete synthetic division, the quotient is a polynomial that is one less degree than the…

Q: Find the sum of the coefficient in the expansion (2019x2 – 2020x + 2021)2022. -

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Q: Exercises 141–143 will help you prepare for the material covered in the next section. In each…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.…

A: Given: 20x3+8x2 and 20x3+10x

Q: 9х1 +5х* +2 3x- 3х-2

A: