Factoring Rational Expressions

Practice Questions

Algebra II › Factoring Rational Expressions

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1

Factor: $\frac{2x^2+8x-10}{16x-16}$

2

Simplify this rational expression: $\frac{x^2-14x+49}{x^2-2x-35}\cdot \frac{1}{x+5}$

3

Evaluate the following expression: $\small \small \frac{2x^2y^8}{5z^4}*\frac{10x^5z^5}{4y^6}$

4

Factor $f(x)=\frac{x^2 + x - 12}{x^2 - x - 6}$ .

5

Simplify the rational expression by factoring:

$\frac{(x^2+2x+4)(x+2)^2}{(x+2)(x+3)}$

6

Factor and simplify this rational expression: $\frac{(x+2)^2(x-3)(x+3)}{(x^2+2x+4)(x^2-6x+9)(x^2+6x+9)}$

7

Simplify:

$\frac{x^{2}+3x+2}{x+2}$

8

Simplify to simplest terms.

$\frac{x^2-x-56}{x^2-15x+56}$

9

Simplify.

$\frac{2x^2-4x-6}{4x-12}$

10

Simplify:

$\frac{x+3}{x^{2}+6x+9}$

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