Solving Quadratic Equations by Factoring

Solve

(n +7)(n + 9) = 0

• n = -7 or n = 4

• n = 7 or n = -9

• n = -3 or n = 10

• n = -7 or n = -9

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Solve by factoring:  2x²+ 7x + 6 = 0

• x= 3/2 and x = 2

• x = -3/2 and x = -2

• x = 6 and x = 7

• x = -6 and x = -7

Solve by factoring:
x² - 9x = 0

• 9

• 0, 9

• -9, 0

• -9

Solve by factoring.

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Solve for x:

(x-5)(x+6)=0

• {5,5 }

• { -5,-5 }

• { -5,-6 }

• {5,-6 }

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• FOIL

• Set each binomial factor equal to zero

What are the factors AND solutions of x² + 2x – 3 = 0

• (x - 2)(x + 1); x=2, x=-1

• (x + 1)(x - 3); x=-1, x=3

• (x + 2)(x - 1); x=-2, x=1

• (x - 1)(x + 3); x=1, x=-3

• Factor

• Subtract 6 from both sides to set the equation equal to 0

• Set each factor equal to 0

• Combine like terms