2. Functions

Factor Theorem — Quiz

Test your understanding of factor theorem with 5 practice questions.

Practice Questions

Question 1

What does the Factor Theorem say about a polynomial $f(x)$ if $f(a)=0$?

Question 2

Which statement is equivalent to saying that $x-4$ is a factor of a polynomial $f(x)$?

Question 3

A polynomial $f(x)$ satisfies $f(-2)=0$. Which factor must divide $f(x)$?

Question 4

If $f(x)$ is a polynomial and $x-1$ is not a factor, what can you conclude?

Question 5

A polynomial $f(x)$ has $f(3)=0$ and $f(-1)=0$. Which factors must be present in $f(x)$?