Unit 7 Quiz #2 Review (Factor and Solve)

Factor out a GCF

100

x^2+5x

x(x+5)

200

x^2-10x

x(x-10)

300

2x^2+20x

2x(x+10)

400

5x^2+15x+40

5(x^2+3x+8)

500

x^2y+7xy+3y

y(x^2+7x+3)

Factor a Trinomial

100

x^2+6x-27

(x+9)(x-3)

200

x^2-10x+21

(x-3)(x-7)

300

x^2-x-20

(x-5)(x+4)

400

x^2+10x+25

(x+5)^2

500

x^2-8x+16

(x-4)^2

Factor a Difference of Squares

100

a^2-49

(a+7)(a-7)

200

p^2-144

(p+12)(p-12)

300

9b^2-4

(3b+2)(3b-2)

400

64m^2-81n^2

(8m+9n)(8m-9n)

500

25x^2+36y^2

Cannot be factored, not subtraction

Factor and Solve a Trinomial

100

x^2+10x-24=0

x=2 and x=-12

200

x^2+4x-45=0

x=-9 and x=5

300

x^2+16x+64=0

x=-8

400

x^2-4x+24=0

cannot be factored, no possible combination

500

x^2-x-56=0

x=-7 and x=8

Factor and Solve a Difference of Squares

100

k^2-36=0

k=+-6

200

b^2-25=0

b=+-5

300

x^2+5=21

x=+-4

400

n^2-20=80

n=+-10

500

5n^2=125

n=+-5