11
QuizMultiple Choice

Division of Polynomials

Question 11 • AZ-Common Core Algebra II A

Shelia is dividing x4 – 4x3 + 4x2 – 6x + 5 by x – 1 using a division table. QuotientDivisor x3– 3x2+ x– 5xx4–3x3x2A– 1–x33x2BCWhat are the missing values in the table?

Answer
A
A = –5x; B = 1x; C = 5
B
A = –5x; B = –1x; C = 5
C
A = 5x; B = –1x; C = 5
D
A = 5x; B = 1x; C = 5

Explanation

Multiply each term of the quotient by each term of the divisor. The quotient term −5 multiplied by x gives A = −5x, and the quotient term x multiplied by −1 gives B = −x; then −5 multiplied by −1 gives C = 5. These products fill the missing table entries.

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