In this worksheet, we will practice using synthetic division and factor theorem to determine whether a binomial is a factor of a polynomial and find the remaining factors.

Q1:

Liam used synthetic division to prove that 4 is a root of the polynomial
.

Using his result, factor into three linear factors.

A

B

C

D

E

Q2:

Consider the function .

Given that two of the three numbers , and 3 are roots of , use synthetic division to fully factor .