Factoring Trinomials with the Leading Coefficient 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
x² + 11x + 24

• (x + 6)(x + 4)

• (x + 10)(x + 2)

• (x + 8)(x + 3)

• (x + 2)(x + 12)

Answer explanation

To factor x² + 11x + 24, we look for two numbers that multiply to 24 and add to 11. The numbers 8 and 3 fit this, so the expression factors to (x + 8)(x + 3).

• (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 + 5x + 6

• (x - 3) (x - 2)

• (x + 3) (x - 2)

• (x + 3) (x + 2)

• (x + 2) (x - 3)

x² - 9x + 18

• (x + 6) (x + 3)

• (x - 6) (x - 3)

• (x - 2) (x - 9)

• (x + 2) (x + 9)

x² - 3x - 40

• (x + 5) (x - 8)

• (x + 8) (x - 5)

• (x + 10) (x - 4)

• (x + 4) (x - 10)