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# 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 ?

- AMore information is needed.
- 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
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- E