Solving Quadratics by Factoring GCF

Factor
k² - 2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+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

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

• a = −6, 4

• a = 6, −4

• a = 12, −2

• a = 8, −3

Solve the quadratic equation.

• x = -2, 4

• x = -8

• x = ±8

• No real solution

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Solve by factoring

• A

• B

• C

• D

Solve:

3x² + 18x +15 = 0

Hint: Factor GCF first.

• x = 3, 2

• x = 5, 1

• x = -5, -1

• x = -3, -2

Solve the equation by factoring.

• x = {-5,-3}

• x = {5,-3}

• x = {-5,3}

• x = {5,3}

Solve by Factoring Completely: 3x² + 18x +15 = 0 Hint: Factor GCF first.

• x=5 x=-1

• x=3 x = 1

• x= -5 x= - 1

• x= -5 x = 1

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