Factor Trinomials With No Leading Coefficient

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

6x² - 11x - 10

• (3x + 5) (2x - 2)

• (2x + 5) (3x - 2)

• (2x - 5) (3x + 2)

• (3x - 5) (2x + 2)

Factor
9x²-6x-8

Mathematical Equivalence

ON

• x+4

• x+3

• x+12

• x-3

• x-4

• x+4

• x+3

• x+12

• x-3

• x-4

x² + 8x - 20

• (x + 10) (x - 2)

• (x + 10) (x + 2)

• (x + 5) (x + 4)

• (x + 5) (x - 4)

x² - 3x - 40

• (x + 5) (x - 8)

• (x + 8) (x - 5)

• (x + 10) (x - 4)

• (x + 4) (x - 10)