Question

question 6 of 10
which of the following is a root of the polynomial shown below?
$f(x) = x^3 - 4x^2 - 11x + 30$

a. -3
b. 6
c. 0
d. 1

Explanation:

Step1: Test x=-3

$f(-3)=(-3)^3 -4(-3)^2 -11(-3)+30=-27-36+33+30=0$

Step2: Verify other options (optional)

$f(6)=6^3-4(6)^2-11(6)+30=216-144-66+30=36≠0$; $f(0)=30≠0$; $f(1)=1-4-11+30=16≠0$

Answer:

A. -3