Expanding and Factoring

Expanding Binomials

100

(x + 2)(x + 3)

x² + 5x + 6

200

(x - 4)(x + 1)

x² - 3x - 4

300

(x - 2)(x - 3)

x² - 5x + 6

400

(2x - 1)(x + 5)

2x² + 9x -5

500

-(x - 3)(x + 11)

-x² - 8x + 33

Vertex to Standard Form

100

y = (x - 4)²

y = x² - 8x + 16

200

y = 2(x - 1)²

2x² - 4x + 2

300

y = -(x + 2)² + 1

-x² - 4x - 3

400

y = 2(x - 2)² + 3

y = 2x² - 8x + 11

500

y = -(x + 3)² + 5

y = -x² - 6x - 4

Factoring a = 1

100

x² + 7x + 10

(x + 2)(x + 5)

200

x² + x - 30

(x + 6)(x - 5)

300

x² - 14x + 24

(x - 12)(x - 2)

400

x² - 10x + 21

(x - 7)(x - 3)

500

x² + 3x - 18

(x + 6)(x - 3)

Factoring a > 1

100

2x² + 16x + 30

2(x + 3)(x + 5)

200

4x² + 20x - 24

4(x - 1)(x+6)

300

-2x² + 4x + 96

-2(x - 8)(x + 6)

400

-3x² - 30x - 72

-3(x + 4)(x + 6)

500

3x² - 12x + 12

3(x - 2)²

Factoring Special Cases

100

x² - 9

(x + 3)(x - 3)

200

x² - 100

(x + 10)(x - 10)

300

x² -10x + 25

(x - 5)(x - 5)

400

x² - 12x + 36

(x - 6)(x - 6)

500

64x² - 49

(8x - 7)(8x + 7)