Factoring Quadratics Vocabulary

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

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

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:  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.

x² + 15x + 44 = 0

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Factor: x² + 2x – 3

• (x - 2)(x + 1)

• (x + 1)(x - 3)

• (x + 2)(x - 1)

• (x - 1)(x + 3)

Factor (hint...take out the greatest common factor first)
2c² + 2c - 84

• (c-6)(2c+14)

• (c+7)(2c-12)

• (c-4)(2c+21)

• 2(c+7)(c-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
x² + 9x - 36

• (x + 12)(x - 3)

• (x + 9)(x - 4)

• (x - 12)(x + 3)

• (x - 9)(x - 4)

Solve by factoring.

b² + 2b - 24 = 0 (hint: find the zeros) FACTOR!

• x = 6 or x = -4

• x = -6 or x = -4

• x = 6 or x = 4

• x = -6 or x = 4