Question

11 multiple choice 1 point
consider the function $f(x) = x^3 + 2x^2 - 13x + 10$. if $f(1)=0$, which of the following must be a factor of $f(x)$
-1
1
$x-1$
$x+1$
previous

Explanation:

Step1: Recall Factor Theorem

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

Step2: Identify given root

Given $f(1)=0$, so $c=1$.

Step3: Find corresponding factor

Substitute $c=1$ into $(x-c)$: $x-1$.

Answer:

C. $x-1$