# Worksheet: Polynomial Long Division without Remainder

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

Q1:

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

• A
• B
• C
• D
• E

Q2:

Find the quotient of divided by .

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• B
• C
• D

Q3:

Find the quotient when is divided by .

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• B
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• D

Q4:

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

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• B
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• D

Q5:

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

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• B
• C
• D

Q6:

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

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• E

Q7:

Knowing that the length of a rectangle is and its area is , express the width of the rectangle as a polynomial in standard form.

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• E

Q8:

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

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• E

Q9:

Find the value of given that is divisible by .

Q10:

Knowing that the volume of a cylinder is and its radius is , express the height of the cylinder algebraically.

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• B
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• D
• E

Q11:

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

• A
• B
• C
• D

Q12:

Find the value of that makes the expression divisible by .

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:

Find the value of that makes the expression divisible by .

Q15:

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

• A
• B
• C
• D
• E

Q16:

Use polynomial division to simplify .

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• E

Q17:

The area of triangle is cm2. 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 cm2 and whose length is cm?

• A cm
• B cm
• C cm
• D cm

Q19:

Determine the perimeter of the rectangle whose area is cm2, given that its length is cm.

• A cm
• B cm
• C cm
• D cm

Q20:

The volume of a cylinder is and its radius is . Write, in its simplest form, a polynomial for the height of the cylinder.

• A
• B
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• D
• E

Q21:

The volume of a cylinder is . Given that its radius is , find an expression for its height.

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• B
• C
• D
• E

Q22:

What is the width of a rectangle whose area is cm2 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

Q25:

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

• A
• B
• C
• D
• E