Worksheet: Dividing Polynomials by Binomials Using Factorization

In this worksheet, we will practice dividing polynomials by binomials using factorization.

Q1:

Find the value of that makes the expression divisible by .

Q2:

The area of a triangle is cm2 and its base is cm. Write an expression for its height.

• A cm
• B cm
• C cm
• D cm

Q3:

What is the width of a rectangle whose area is cm2 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 cm2 and a width of cm. Find its length in terms of and its perimeter when .

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

Q9:

Find the value of that makes the expression divisible by .

Q10:

Find the value of that makes the expression divisible by .

Q11:

The area of a triangle is cm2 and its base is cm. Write an expression for its height.

• A cm
• B cm
• C cm
• D cm

Q12:

The area of a triangle is cm2 and its base is cm. Write an expression for its height.

• A cm
• B cm
• C cm
• D cm

Q13:

What is the width of a rectangle whose area is cm2 and whose length is cm?

• A cm
• B cm
• C cm
• D cm

Q14:

What is the width of a rectangle whose area is cm2 and whose length is cm?

• A cm
• B cm
• C cm
• D cm

Q15:

A rectangle has an area of cm2 and a width of cm. Find its length in terms of and its perimeter when .

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