2. Functions

Remainder Theorem — Quiz

Test your understanding of remainder theorem with 5 practice questions.

Practice Questions

Question 1

What does the Remainder Theorem say about the remainder when a polynomial $f(x)$ is divided by $x-a$?

Question 2

If $f(x)=x^2-5x+6$ is divided by $x-2$, what is the remainder?

Question 3

A polynomial $f(x)$ is divided by $x+3$. If $f(-3)=7$, what is the remainder?

Question 4

Which statement correctly describes the connection between the Remainder Theorem and the Factor Theorem?

Question 5

A polynomial $f(x)$ is divided by $x-4$ and the remainder is $9$. What is $f(4)$?