In this worksheet, we will practice writing polynomial functions as the product of linear and irreducible quadratic factors with real coefficients.

**Q1: **

Consider .

Write as the product of linear and irreducible quadratic factors.

- A
- B
- C
- D
- E

List all zeros of .

- A
- B
- C
- D

**Q2: **

Consider .

Write as the product of linear and irreducible quadratic factors.

- A
- B
- C
- D

Write as the product of linear factors.

- A
- B
- C
- D

List all zeros of .

- A
- B
- C
- D

**Q3: **

Consider .

Write as the product of linear and irreducible quadratic factors.

- A
- B
- C
- D
- E

Write as the product of linear factors.

- A
- B
- C
- D
- E

List all zeros of .

- A
- B
- C
- D

**Q4: **

Consider .

Write as the product of linear and irreducible quadratic factors.

- A
- B
- C
- D
- E

List all zeros of .

- A
- B
- C
- D
- E

**Q5: **

If is an irreducible polynomial, with , then which of the following is true?

- A = either or .
- B is a zero divisor.
- C .
- D or