# Worksheet: Finding Zeros of Polynomials

In this worksheet, we will practice using synthetic substitution and depressed polynomials to factor a polynomial to find all its zeros given one of them.

**Q1: **

Consider the function .

Given that one zero of is , find all zeros of using synthetic division.

- A , , ,
- B , , ,
- C , , ,
- D , , ,
- E , , ,

Write the linear factorization of .

- A
- B
- C
- D
- E

**Q2: **

Consider .

Given that one zero of is , find all zeros of using synthetic division.

- A , , , 2
- B , , ,
- C , , 2
- D , , ,

Write the linear factorization of .

- A
- B
- C
- D

**Q3: **

Consider .

Given that one zero of multiplicity 2 of is , find all zeros of using synthetic division.

- A
- B
- C
- D

Write the linear factorization of .

- A
- B
- C
- D

**Q4: **

Consider the function .

Given that one zero of is , find all zeros of using synthetic division.

- A
- B
- C
- D
- E

Write the linear factorization of .

- A
- B
- C
- D
- E