In this lesson, we will learn how to use the factor theorem to factor polynomials, especially cubic polynomials.

Students will be able to

Q1:

Using the factor theorem, determine which of the following linear expressions is a factor of 6𝑥+17𝑥−31𝑥−12.

Q2:

Given that 𝑓(1)=0 and 𝑓(−3)=0, fully factor 𝑓(𝑥)=8𝑥+30𝑥+7𝑥−36𝑥−9.

Q3:

For a polynomial expression 𝑓(𝑥), if 𝑓(−3)=0, which of the following can be said to be a factor of 𝑓(𝑥) using the factor theorem?

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