# Worksheet: Polynomial Long Division with Remainder

In this worksheet, we will practice finding the quotient and remainder when polynomials are divided, including the case when the divisor is irreducible.

**Q2: **

Write in the form where the degree of is less than that of .

- A
- B
- C
- D
- E

**Q3: **

Find the remainder , and the quotient when is divided by .

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

**Q4: **

Write in the form .

- A
- B
- C
- D
- E

**Q5: **

Given that with a remainder of 19, rewrite in the form .

- A
- B
- C
- D
- E

**Q6: **

Find the remainder when is divided by .

**Q7: **

Find the remainder when is divided by .

**Q9: **

Find the remainder when is divided by .

**Q10: **

Write in the form .

- A
- B
- C
- D
- E

**Q14: **

Write in the form .

- A
- B
- C
- D
- E

**Q15: **

Express the division in the form .

- A
- B
- C
- D
- E

**Q16: **

Use polynomial long division to find the quotient and the remainder for , where and .

- A and
- B and
- C and
- D and
- E and

**Q17: **

Write in the form .

- A
- B
- C
- D
- E

**Q18: **

Find the quotient and the remainder when is divided by .

- A and
- B and
- C and
- D and
- E and