Topics
3. Polynomial Expressions and Equations
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United States of America
Grades 9-12

3.04 Polynomial division

Lesson
Practice
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
Medium
< 1min

Simplify the following expression, for $x\ne0$x≠0:

$\frac{9x^3+5x^5}{x}$9x3+5x5x​

Medium
< 1min

Simplify the following expression, for $x\ne0$x≠0:

$\frac{48x^4+12x^3-30x^2-42x}{6x}$48x4+12x3−30x2−42x6x​

Medium
1min

The rectangle shown below has an area of $4x^4-8x$4x4−8x square units.

Find a simplified polynomial expression for its length.

Medium
1min
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Outcomes

A.SSE.A.2

Use the structure of an expression to identify ways to rewrite it.

A.APR.B.2

Know and apply the remainder theorem: for a polynomial p(x) and a number a, the remainder on division by x - a is p(a), so p(a) = 0 if and only if (x - a) is a factor of p(x).

A.APR.D.6

Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

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