Multiplying Rational Functions HW

Factor the following polynomial:

 $3x^2+14x-5$  

• (3x + 5)(x - 1)

• (3x - 1)(x + 5)

• (3x + 1)(4x - 5)

• (x - 15)(x + 14)

Factor the following polynomial:

 $x^2+4x-21$  

• (x + 4)(x - 21)

• (x - 7)(x + 3)

• (x - 4)(x + 21)

• (x - 3)(x + 7)

Factor the following polynomial:

 $x^2-64$  

• (x + 8)(x - 8)

• (x + 4)(x - 4)

• (x + 2)(x - 32)

• (x - 16)(x + 4)

Simplify the following rational function:

 $\frac{\left(x+1\right)\left(x-2\right)\left(x+3\right)\left(x-4\right)}{\left(x+4\right)\left(x+3\right)\left(x+1\right)\left(x+2\right)\left(x-2\right)}$  

•  $\frac{1}{x+2}$  

•  $\frac{\left(x+3\right)}{\left(x-2\right)\left(x-4\right)}$  

•  $\frac{\left(x+1\right)\left(x+2\right)}{\left(x+4\right)\left(x-2\right)}$  

•  $\frac{x-4}{\left(x+4\right)\left(x+2\right)}$  

Simplify by factoring:

 $\frac{x^2+5x-14}{x^2-4}$  

•  $\frac{x+7}{x-2}$  

•  $\frac{x+7}{x+2}$  

•  $\frac{x-7}{x-2}$  

•  $\frac{x-7}{x+2}$  

Simplify by factoring:

 $\frac{3x^2+14x-5}{x^2+8x+15}$  

•  $\frac{3x+1}{x+3}$  

•  $\frac{3x-1}{x-3}$  

•  $\frac{3x+1}{x-3}$  

•  $\frac{3x-1}{x+3}$  

Multiply the following:

 $\frac{3}{x-1}\cdot\frac{4}{x-1}$  

•  $\frac{12}{\left(x-1\right)\left(x-1\right)}$  

•  $\frac{7}{\left(x-1\right)\left(x-1\right)}$  

•  $\frac{-1}{\left(x-1\right)\left(x-1\right)}$  

•  $\frac{7}{2x-2}$  

Multiply the following:

 $\frac{2x}{x-5}\cdot\frac{9x}{x-5}$  

•  $\frac{-7x}{\left(x-5\right)\left(x-5\right)}$  

•  $\frac{11x^2}{\left(x-5\right)\left(x-5\right)}$  

•  $\frac{18x^2}{\left(x-5\right)\left(x-5\right)}$  

•  $\frac{18x}{2x-10}$  

Multiply the following rational expressions, simplifying the answer if needed.

 $\frac{3}{5x}\cdot\frac{6x}{x-7}$  

•  $\frac{18}{5\left(x-7\right)}$  

•  $\frac{9x}{6x-7}$  

•  $\frac{2x}{4x-35}$  

•  $\frac{18x}{5x-7}$  

Multiply the following rational expressions, simplifying the answer if needed.

 $\frac{3x+3}{x+2}\cdot\frac{4x-8}{x+1}$  

•  $\frac{7x-5}{\left(x+2\right)\left(x+1\right)}$  

•  $\frac{12\left(x-2\right)}{\left(x+2\right)}$  

•  $12$  

•  $\frac{12\left(x^2-2\right)}{\left(x+2\right)\left(x+1\right)}$