Alg 2 Unit 5 Lesson 5 SOAP Factoring

Alg 2 Unit 5 Lesson 5 SOAP Factoring

Happy SOAP Day!

S ame

O pposite

A lways

P ositive

Multiple Choice

Perform the given operation:

 $\frac{25-4x^2}{6x^2+9x-15}\cdot\frac{6x^2-2x-4}{2x^2-x-10}$  

•  $-2$  

•  $2$  

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

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

Multiple Choice

6x²y - 18xy²

• 6(x - 3y)

• 6xy(x - 3y)

• 6xy²(x - 3)

• 6x²y(3y - 1)

Multiple Choice

Factor  $4r^2\ -\ 49$ 

•  $(2r+7)(2r-7)$  

•  $(2r+7)^2$  

•  $\left(2r\ -\ 7\right)^2$  

•  $(2r\ +\ 24.5)\left(2r\ -\ 24.5\right)$  

Multiple Choice

8x³ + 27

• (3x - 2)(9x² + 6x + 4)
• (3x - 1)(9x² + 3x + 1)
• (2x + 3)(4x² - 6x + 9)
• (2x - 1)(4x² + 2x + 1)

Multiple Choice

125x³ - 64

• (5x - 4)(25x² + 20x + 16)
• (5x + 2)(25x² - 10x + 4)
• (3x - 1)(9x² + 3x + 1)
• (4x - 3)(16x² + 12x + 9)

Multiple Choice

Factor completely:
 3x² + 5x - 12

• (3x + 4)(x-3)
• (3x - 4)(x + 3)
• (3x + 3)(x -4)
• (3x - 3)(x + 4)

Multiple Choice

Factor by grouping:
3x³-x²+6x-2

• (x²+2)(3x+1)
•  (x²+2)(3x-1)
• (3x³+6x)(x²-2)
• none of the aboe

Multiple Select

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