# Worksheet: Dividing a Polynomial by a Binomial Using Factorization

In this worksheet, we will practice dividing polynomials by polynomials using factorization and finding common factors that will cancel out.

**Q3: **

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

**Q4: **

By factoring, find all the solutions to , given that is a factor of .

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

**Q5: **

A rectangle has an area of cm^{2}
and a width of cm. Find its length in
terms of and its perimeter when .

- AThe length is cm, and the perimeter is 30 cm.
- BThe length is cm, and the perimeter is 34 cm.
- CThe length is cm, and the perimeter is 15 cm.
- DThe length is cm, and the perimeter is 54 cm.
- EThe length is cm, and the perimeter is 126 cm.

**Q6: **

Knowing that the length of a rectangle is and its area is , express the width of the rectangle algebraically.

- A
- B
- C
- D
- E

**Q7: **

Knowing that the volume of a box is , its length is 2, and its width is , express the height of the box algebraically.

- A
- B
- C
- D
- E

**Q8: **

.

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

**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: **

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

**Q15: **

A rectangle has an area of cm^{2}
and a width of cm. Find its length in
terms of and its perimeter when .

- AThe length is cm, and the perimeter is 42 cm.
- BThe length is cm, and the perimeter is 46 cm.
- CThe length is cm, and the perimeter is 21 cm.
- DThe length is cm, and the perimeter is 46 cm.
- EThe length is cm, and the perimeter is 132 cm.