Factoring Quadratics

Solve by factoring. (what do they have in common)

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Factor: x² + 2x – 3

• (x - 2)(x + 1)
• (x + 1)(x - 3)
• (x + 2)(x - 1)
• (x - 1)(x + 3)

Factor
x² + 9x - 36

• (x + 12)(x - 3)
• (x + 9)(x - 4)
• (x - 12)(x + 3)
• (x - 9)(x - 4)

• Not factorable

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.

What is the factored form of x²+16x+15

• (x+1)(x+15)
• (x+3)(x+5)
• (x-3)(x-5)
• (x-1)(x+15)

What is the factored form of x²-10x+24

• (x-4)(x-6)
• (x-12)(x+2)
• (x-8)(x-3)
• (x+24)(x-1)

Factor:
x² + 5x - 24

• (x - 8)(x + 3)
• (x + 8)(x - 3)
• (x + 6)(x - 4)
• (x + 12)(x - 2)

Factor
k² -2k - 24

• (k+4)(k-6)
• (k+4)(k+6)
• (k+6)(k-1)
• (k-4)(k+6)

Factor:

4h² - 12h + 9

• (2h - 3)(2h - 3)

• 4(h + 9)(h + 1)

• (2h - 3)(2h + 3)

• (h - 9)(4h - 1)