# Lesson Worksheet: Factor Theorem Mathematics

In this worksheet, we will practice using the factor theorem to factor polynomials, especially cubic polynomials.

Q1:

Using the factor theorem, determine which of the following linear expressions is a factor of .

• A
• B
• C
• D
• E

Q2:

Given that and , fully factor .

• A
• B
• C
• D
• E

Q3:

For a polynomial expression , if , which of the following can be said to be a factor of using the factor theorem?

• A
• B
• CWe cannot determine any factor of .
• D
• E

Q4:

Given that is a factor of , what is the value of ?

Q5:

Given that has a factor , where is an integer and , find .

Hence, fully factor .

• A
• B
• C
• D
• E

Q6:

Using the factor theorem, determine which of the following linear expressions is a factor of .

• A
• B
• C
• D
• E

Q7:

Using the factor theorem, factor completely.

• A
• B
• C
• D
• E

Q8:

Suppose that is a factor of . What is the value of ?

Q9:

For a polynomial expression , if , is a factor of ?

• BYes
• CNo

Q10:

What is the completely factored form of ?

• A
• B
• C
• D
• E

Using this factored form, identify the graph of .

• A • B • C • D • E This lesson includes 90 additional question variations for subscribers.