Factoring Quadratics When A Is Not One

Factor and Solve: Remember the two numbers you choose when factoring, are not your solutions to the equation!

a² + 2a − 24 = 0

• a = −6, 4

• a = 6, −4

• a = 12, −2

• a = 8, −3

Factor and solve:

z² − 14z + 45 = 0

• z = 1, 45

• z = −1, 45

• z = −5, 9

• z = 5, 9

Solve by factoring: x² + 3x - 18 = 0
Put the solutions in order from least to greatest.

{​ (a)   ,​ (b)   }

• -6

• 3

• 6

• -3

• 9

• -2

• -9

• 2

• 18

• -1

Solving the equation f(x) = x² - 8x + 15 =0, what are the two factors we can create to solve this equation? ​ (a)   .

• (x - 3) and (x - 5)

• (x + 3) and (x + 5)

• (x - 15)

What value of c would make this a perfect square trinomial?

x² +8x + c

• 4

• 16

• 64

• 8

Factor
a² - a - 12

• (a - 4)(a + 3)

• (a + 6)(a - 4)

• (a - 6)(a + 4)

• (a + 4)(a - 3)

Factor:
 4h² - 17h + 4

• (2h - 2)²

• 4(h + 4)(h + 1)

• (2h - 2)(2h + 2)

• (h - 4)(4h - 1)

Factor
3v² - 4v - 7

• (3v-7)(v+1)

• 3(v-7)(v-1)

• (3v+1)(v-9)

• (3v+1)(v-10)