Question

2 multiple choice 1 point
consider the function: $f(x)=2x^3+6x^2-7x+4$
if f(-4)=0, which of the following must be a factor of f(x)?

1. $-4$
2. $x + 4$
3. $4$
4. $x - 4$

clear my selection
previous

Explanation:

Step1: Apply Factor Theorem

If $f(c)=0$, then $(x-c)$ is a factor.
Here, $f(-4)=0$, so $c=-4$.

Step2: Find the factor

Substitute $c=-4$ into $(x-c)$:
$x - (-4) = x + 4$

Answer:

1. $x + 4$