Quadratic Factoring Diamonds

Solve: b² = -35 + 12b RE-ARRANGE AND FACTOR

• b = 5 and 7

• b = -5 and -7

• b = -5 and 7

• b = 5 and -7

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: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

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

Factor
n²-13n+40

• (n-5)(n-8)

• (n+5)(n-8)

• (n-5)(n+8)

• (n+6)(n+1)

Factor:
x² + 5x - 24

• (x - 8)(x + 3)

• (x + 8)(x - 3)

• (x + 6)(x - 4)

• (x + 12)(x - 2)

Find the factors of 5x² + 20x + 20

Take out the GCF first!

• 5(x+2)(x+2)

• 5(x-2)(x-2)

• 5(x+2)(x-2)

• (5x+2)(x+2)

Factor:
v² + 3v - 88

• (v + 11)(v - 8)

• (v + 22)(v - 4)

• (v + 8)(v - 11)

• (v - 22)(v + 4)