Factoring Quadratic Functions

x² + 2x – 3 = 0

• Factored Form:

  (x - 2)(x + 1) = 0

  Solve:

  x = 2 and x = -1

• Factored Form:

  (x + 1)(x - 3) = 0

  Solve:

  x = -1 and x = 3

• Factored Form:

  (x + 2)(x - 1) = 0

  Solve:

  x = -2 and x = 1

• Factored Form:

  (x - 1)(x + 3) = 0

  Solve:

  x = 1 and x = -3

Convert x² - 9x + 20 to factored form and solve.

• (x-10)(x+2); x = -2, 10

• (x+4)(x+5); x = -5, -4

• (x-4)(x-5); x = 4, 5

• Not factorable

x² + 6x + 9 = 0

• Factored Form:

  (x+3)(x+3) = 0

  Solve:

  x = -3

• Factored Form:

  (x+4)(x+5) = 0

  Solve:

  x = -4 and x = -5

• Factor Form:

  (x-3)(x-3) =0

  Solve:

  x = 3

• Not factorable

Solve by factoring:

x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve by factoring: x² + 3x - 18 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve for m by factoring.

• A

• B

• C

• D

Solve by factoring: x² - 5x + 6 = 0
Put the solutions in order from least to greatest.

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solve by factoring

• -4, 2

• -2, 4

• -16

• -4

Solving the equation f(x) = x² - 8x + 15 =0, what are the two factors we can create to solve this equation? ​ (a)   .

• (x - 3) and (x - 5)

• (x + 3) and (x + 5)

• (x - 15)