Question

If x = -2 is a zero of the polynomial function f (x) = 2x^3 + 9x^2 − 8x − 36, which of the following is another zero of f(x)?

A) x = 8

B) x = 4

C) x = 3

D) x = 2

Answer 1

Explanation:

Given polynomial, f(x) = 2x^3 + 9x^2 - 8x - 36

= 2x^3 - 8x + 9x^2 - 36

= 2x ( x^2 - 4) + 9( x^2 -4)

= (2x + 9)(x^2 - 4)

= (2x + 9)(x-2)(x+2)

x = 2,-2,-9/2

ans: D) x = 2