Factoring Quadratics When A Is Not Equal To One

Factor
3a² + 4a + 1

• (7a-10)(a-8)

• Not factorable

• (3a+1)(a+1)

• (3a-1)(a-1)

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

What is a method of checking your work when factoring?

• FOIL

• asking the teacher every time

• assume you're correct

• division

Solve by factoring: 3a² + 4a + 1

• a = 10/7, a = 8

• Not factorable

• a = -1/3, a = -1

• a = 1/3, a = 1

Solve by factoring:  4x² + 11x - 3 = 0

• x = -3/4 and x = -1

• x = 4 and x = 3

• x = 1/4 and x = -3

• x = -1/4 and x = 3

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 the equation by factoring:

2x² + 26x + 80 = 0

• -8, 5

• -40, -1

• 5, 8

• -8, -5

2x²-19x+9

• (2x+1)(x-9)

• (2x-9)(x-1)

• (2x-1)(x+9)

• (2x-1)(x-9)

Solve by factoring:3x² + 5x + 2 = 0  

• x = -2/3 and x = -1

• x = -3/2 and x = -1

• x = 2/3 and x = 1

• x = 2/3 and x = -1