All Methods of Factoring

Factor by grouping:
3x³ + 6x² + 4x + 8

• (3x² + 4)(x + 2)

• (3x² + 2)(x + 4)

• (3x² - 4)(x - 2)

• (x + 4)(x + 2)

What type of factoring would you use first?
x² - 7x -  8

• GCF

• (x -  ) (x-  )

• (x+  )(x+   )

• (x+  )(x-   )

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5

• x = 20 and x = -9

• x = 4 and x = 5

• x = -4 and x = 5

Factor: 49x² - 100

• (49x + 100)(x - 1)

• (7x - 10)(7x + 10)

• (49x - 10)(x + 10)

• (7x -10)(7x - 10)

Factor:   3x²- 6x - 24

• (3x - 8)(x + 3)

• (3x + 4)(x - 6)

• 3(x - 2)(x + 4)

• 3(x + 2)(x - 4)

Suzie solves the equation below:
x² + 4x - 12 = 2
(x - 2)(x + 6) = 2, 
by setting x -2 = 0 and x + 6 = 0. 
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?

• Yes, she factored correctly and then used the zero product property

• Yes, she factored correctly and then square rooted.

• No, she did factor correctly, but she can't use the zero product property as shown.

• No, she didn't factor correctly so the rest of her work is wrong. 

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4

• 2

• 8

• 20

Factor (Grouping):
20x³ - 25x² + 4x - 5

• (5x² - 5) (4x + 1)

• 5 (x² - 1) (4x + 5)

• (5x² + 1) (4x - 5)

• (5x² + 1) (4x - 1)

What is pattern for factoring Difference of Squares?

• (a - b)²

• (a + b)²

• (a + b)(a - b)

• (a + b)(b - c)

What is pattern for Squared Binomial?

• a² - b² = (a + b)(a - b)

• a² + 2ab + b² = (a + b)²

• ax² - c = a(x + c)(b - c)

• -b + b² - 4ac = (a + b)(b - c)