Question

PLEASE HELP QUICK :) multiple choice.

Which of the following functions has a factor of x + 9 ?
A: f (x) = x^3 - 8x^2 - 11x + 18
B: f (x) = x^3 + 10x^2 + 7x - 27
C: f (x) x^3 + 10x^2 + 7x - 18
D: f (x) = x^3 - 8x^2 - 11x + 27

Answer 1

• C. f(x) = x³ + 10x² + 7x - 18

Explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

Lets verify:

• A. f(-9) = (-9)³ - 8*(-9)² - 11*(-9) + 18 = -1260, No
• B. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 27 = -9, No
• C. f(-9) = (-9)³ + 10*(-9)² + 7*(-9) - 18 = 0, Yes
• D. f(-9) = (-9)³ - 8*(-9)² + 11*(-9) + 27 = -1449, No