Factoring

Perfect squares

100

factor x²-25

(x+5)(x-5)

200

factor x²-4

(x+2)(x-2)

300

Factor x²-100

What is (x+10)(x-10)

400

factor 4x²-16

(2x+4)(2x-4)

500

factor 100x²-49

(10x+7)(10x-7)

Distributing

100

Create a trinomial (x+1)(x+2)

x²+3x+2

200

Create a trinomial (x+3)(x-1)

x²+2x-3

300

Create a trinomial (2x+3)(x+5)

2x²+13x+15

400

Create a trinomial (3x-1)(2x+2)

6x²+4x-2

500

Create a trinomial (4x-3)(3x+5)

12x²+11x-15

What's the vertex?

100

y=x²

(0, 0)

200

y=(x-3)²

(3, 0)

300

y=(x+2)²+3

(-2, 3)

400

f(x)=x²+6x+11

(-2, 5)

500

f(x)=3x²+12x+17

(-2, 5)

a=1

100

factor x²+7x+6

(x+6)(x+1)

200

factor x²-10x+16

(x-15)(x+3)

300

factor x²-12x-45

(x-15)(x+3)

400

factor x²-27x-90

(x-30)(x+3)

500

factor x²-14x-51

(x-17)(x+3)

a doesn't equal 1

100

factor 2x²+5x+2

(x+2)(2x+1)

200

factor 2x²-11x+15

(x-3)(2x-5)

300

factor 4x²+12x+9

(2x+3)

400

factor 3x²+2x-16

(3x+8)(x-2)

500

factor 8x²-2x-10

2(4x-5)(x+1)