In this worksheet, we will practice finding the quotient and remainder when polynomials are divided, including the case when the divisor is irreducible.

**Q5: **

Use polynomial division to simplify .

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**Q8: **

Given that , by comparing coefficients, find and .

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

**Q9: **

Write in the form where the degree of is less than that of .

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**Q10: **

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

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**Q11: **

Find the remainder , and the quotient when is divided by .

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

**Q12: **

Write in the form .

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**Q13: **

Find the quotient when is divided by .

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**Q14: **

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

**Q15: **

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

**Q16: **

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

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**Q17: **

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

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