21
QuizMultiple Choice

N/A — Exam

Question 21 • Precalculus

Use synthetic division to solve open paren x cubed minus x squared minus 17 x minus 15 close paren divided by open paren x minus 5 close paren What is the quotient?

Answer
A
x squared plus 4 x plus 3
B
x squared minus 6 x plus 13 minus the fraction with numerator 80 and denominator x plus 5
C
x squared minus 6 x plus 13 minus the fraction with numerator 80 and denominator x minus 5
D
x cubed plus 4 x squared plus 3 x

Explanation

For division by x − 5, use 5 in synthetic division with the coefficients 1, −1, −17, −15. The resulting quotient coefficients are 1, 4, 3, with remainder 0, so the quotient is x² + 4x + 3, choice D.

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