how did they get 9x^2 from (x^4)/(5x^2)mod11 ?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.3: The Remainder And Factor Theorems; Synthetic Division
Problem 42E
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how did they get 9x^2 from (x^4)/(5x^2)mod11 ?

f (x) = x* + 5x – 3x²
by g(x)= 5x? – x+2 to find g(x) and r(x). Perform the long division in Z,[x].
9x² +5x +10
5x² – x + 2)x* + 5x³ – 3x²
x* + 2x³ + 7x²
3.x + x?
Зx - 5х3 + 10х
6x +x
бх? - 10х +9
2
So, you obtain 9(x) = 9x² +5x +10| and r(x)= 2
Transcribed Image Text:f (x) = x* + 5x – 3x² by g(x)= 5x? – x+2 to find g(x) and r(x). Perform the long division in Z,[x]. 9x² +5x +10 5x² – x + 2)x* + 5x³ – 3x² x* + 2x³ + 7x² 3.x + x? Зx - 5х3 + 10х 6x +x бх? - 10х +9 2 So, you obtain 9(x) = 9x² +5x +10| and r(x)= 2
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