Factoring and Solving Quadratics

Factor:  x² + 9x + 18

• (x + 3)(x + 6)
• (x - 3)(x - 6)
• (x + 9)(x + 2)
• (x + 3)²

Factor:  
x² -17x - 60

• (x - 20)(x + 3)
• (x - 3)(x + 20)
• (x - 3)(x - 20)
• (x + 3)(x + 20)

Factor: x²+10x+16

• (x+2)(x+8)

• (x-2)(x-8)

• (x+1)(x+16)

• (x+6)(x+10)

Factor

3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v-1)(v+4)

• (3v+1)(v-10)

Solve for a by factoring.

a² + 2a - 24 = 0

• a = -6 and a = 4

• a = 6 and a = -4

• a = 12 and a = -2

• a = 8 and a = -3

Solve by factoring:
 x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Solve the equation by factoring:

x² - 6x = -8

• x=2 and x=4

• x= -2 and x= -4

• x= -2 and x=4

• x=2 and x= -4

What are the factors of

25x² - 81?

• (5x - 9)(5x + 9)

• (5x - 9)(5x - 9)

• (5x + 9)(5x + 9)

• Prime (Can't be factored)

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)