Factoring Trinomials With The Leading Coefficient Of 1

Which of the following methods would be best to solve this equation by Factoring?
x² - 6x - 27 = 0

• Difference of Squares

• Trinomial when a > 1

• Factor by Grouping

• Trinomial when a = 1

Tags

CCSS.HSA-REI.B.4B

How should you factor the following expression?

• Perfect Squares:

  Use (x + a ) (x - a )

• Factor when a>1, slip & slide

• No Leading Coefficient:

  Go straight to (x ± a) (x ± b)

• Factor by Grouping

How should you factor the following expression?
x² - 5x + 6

• Perfect Squares:
  Use (x + a ) (x - a )

• Perfect Cubes:
  Use SOP SMS

• No Leading Coefficient:
  Go straight to (x ± a) (x ± b)

• Multiply 1st & Last;
  Replace middle term;
  Factor by Grouping

How should you factor the following expression?
x² + 7x - 30

• Perfect Squares:
  Use (x + a ) (x - a )

• Perfect Cubes:
  Use SOP SMS

• No Leading Coefficient: Go straight to (x ± a) (x ± b)

• Multiply 1st & Last;
  Replace middle term;
  Factor by Grouping

Factor the Trinomial:
x² - 8x + 15

• (x + 5) ( x + 3)

• (x - 5) (x - 3)

• (x + 15) (x - 1)

• (x - 7) (x - 8)

• (x - 12)(x - 3)

• (x + 3)(x + 12)

• (x + 12)(x - 3)

• (x + 3)(x - 12)

• (x + 6)(x - 5)

• (x - 6)(x - 5)

• (x + 6)(x + 5)

• (x - 6)(x + 5)

x² - 3x - 40

• (x + 5) (x - 8)

• (x + 8) (x - 5)

• (x + 10) (x - 4)

• (x + 4) (x - 10)

x² + 5x + 6

• (x - 3) (x - 2)

• (x + 3) (x - 2)

• (x + 3) (x + 2)

• (x + 2) (x - 3)

x² + 8x - 20

• (x + 10) (x - 2)

• (x + 10) (x + 2)

• (x + 5) (x + 4)

• (x + 5) (x - 4)