Worksheet: 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.

Q3:

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

Q4:

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

Q5:

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

Q6:

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

Q7:

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

Q8:

.

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.

Q12:

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

Q13:

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

Q14:

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

Q15:

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