13
QuizMultiple Choice

Polynomial Functions and Theorems — Test

Question 13 • Algebra 2 with Probability

Use synthetic division to solve open paren x to the 4th power minus 1 close paren divided by open paren x minus 1 close paren What is the quotient?

Answer
A
x cubed
B
x cubed plus x squared plus x plus 1
C
x cubed minus x squared plus x minus 1
D
x cubed minus 2

Explanation

For synthetic division by x − 1, use 1 as the divisor’s zero and the coefficients 1, 0, 0, 0, −1. The quotient coefficients are 1, 1, 1, 1, with remainder 0, so the quotient is x³ + x² + x + 1. This is choice C.

AI-written and checked against the verified answer.

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