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3.03 Dividing polynomials

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
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Outcomes

MA.912.AR.1.3

Add, subtract and multiply polynomial expressions with rational number coefficients.

MA.912.AR.1.5

Divide polynomial expressions using long division, synthetic division or algebraic manipulation.

MA.912.AR.1.6

Solve mathematical and real-world problems involving addition, subtraction, multiplication or division of polynomials.

MA.912.AR.6.2

Explain and apply the Remainder Theorem to solve mathematical and real-world problems.

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