topic badge

4.02 Polynomial division

Adaptive
Worksheet

Interactive practice questions

Which of the following is the correct simplification of $\frac{z+10}{10}$z+1010?

$\frac{z}{10}+1$z10+1

A

$z+1$z+1

B

$z$z

C
Easy
< 1min

Simplify the following expression, for $x\ne0$x0:

$\frac{9x^3+5x^5}{x}$9x3+5x5x

Easy
< 1min

Simplify the following expression, for $x\ne0$x0:

$\frac{48x^4+12x^3-30x^2-42x}{6x}$48x4+12x330x242x6x

Easy
1min

The rectangle shown below has an area of $4x^4-8x$4x48x square units.

Find a simplified polynomial expression for its length.

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

A2.A.APR.A.1

Know and apply the Factor Theorem: For a polynomial p(x) and a number a, p(a) = 0 if and only if (x – a) is a factor of p(x).

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP5

Use appropriate tools strategically.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace