Factoring and Complete the Square

Factoring Positives

100

Factor x² + 3x + 2

(x + 2)(x + 1)

200

Factor x² + 6x + 8

(x + 4)(x + 2)

300

Factor x² + 2x + 1

(x + 1)(x + 1)

500

Factor x² + 13x + 40 

(x + 5)(x + 8)

600

Factor x² + 18x + 80

(x + 10)(x + 8)

Factoring c is negative

100

Factor x² + 4x - 45

(x + 9)(x - 5)

200

Factor x² + 8x - 20

(x + 10)(x - 2)

300

Factor x² + 6x - 55

(x + 11)(x - 5) 

500

Factor x² + 12x - 45

(x + 15)(x - 3)

600

Factor x² + 48x - 100

(x + 50)(x - 2)

Factoring b is negative

100

Factor x² - 14x + 48

(x - 8)(x - 6)

200

Factor x² - 11x + 30

(x - 5)(x - 6)

300

Factor x² - 9x + 8

(x - 8)(x - 1)

500

Factor x² - 5x + 6 

(x - 3)(x - 2)

600

Factor x² - 18x + 45

(x - 15)(x - 3)

Factoring Special Cases

100

Factor x² + 6x + 9

(x + 3)²

200

Factor x²  + 14x + 49

(x+7)²

300

Factor x² - 10x + 25

(x - 5)²

500

Factor x² - 49

(x + 7)(x - 7)

600

Factor x² - 1

(x - 1)(x + 1)

Complete the Square

100

Find c: x² - 2x + c

c = 1

200

Find c: x² + 12x + c

c = 36

300

Find c: x² - 44x + c

c = 484

500

Find c: x² - 13x + c

c = 42.25

600

Find c: x² + 1.5x + c

c = 0.5625