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

Explanation:

Step1: Apply Factor Theorem

The Factor Theorem states that if $f(c)=0$, then $(x-c)$ is a factor of $f(x)$.

Step2: Identify $c$ from given condition

We know $f(1)=0$, so $c=1$.

Step3: Write the corresponding factor

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

Answer:

C. $x-1$