# Worksheet: Polynomial Long Division without Remainder

In this worksheet, we will practice performing long division on polynomials.

**Q2: **

Find the quotient of divided by .

- A
- B
- C
- D

**Q5: **

We want to factor into two factors. Given that one of these factors is , what is the other?

- A
- B
- C
- D

**Q8: **

The expression has two factors. One factor is , what is the other factor?

- A
- B
- C
- D
- E

**Q9: **

Find the value of given that is divisible by .

**Q12: **

Find the value of that makes the expression divisible by .

**Q13: **

What is the width of a rectangle whose area is cm^{2} and whose length is cm?

- A cm
- B cm
- C cm
- D cm

**Q14: **

Find the value of that makes the expression divisible by .

**Q16: **

Use polynomial division to simplify .

- A
- B
- C
- D
- E

**Q17: **

The area of triangle is cm^{2}. Its altitude, , is cm. What is its base length, ?

- A cm
- B cm
- C cm
- D cm
- E cm

**Q18: **

What is the width of a rectangle whose area is cm^{2}
and whose length is cm?

- A cm
- B cm
- C cm
- D cm

**Q19: **

Determine the perimeter of the rectangle whose area is cm^{2}, given that its length is cm.

- A cm
- B cm
- C cm
- D cm

**Q22: **

What is the width of a rectangle whose area is cm^{2} and whose
length is cm?

- A cm
- B cm
- C cm
- D cm

**Q23: **

What must be added to to give an expression that is divisible by ?

**Q24: **

Find the quotient when is divided by .

- A
- B
- C
- D