Quadratics

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)

400

Factor x² + 13x + 40 

(x + 5)(x + 8)

500

Factor x² + 18x + 80

(x + 10)(x + 8)

Multiplying Polynomials

100

6x(2x + 3)

12x² + 18x

200

2x(−2x − 3)

−4x² − 6x

300

(x − 3)(6x − 2)

6x² − 20x + 6

400

(7x − 6)(5x + 6)

35x² + 12x − 36

500

(3x − 4)(4x + 3)

12x²− 7x − 12

abc's

100

What is a,b,c in  2x² - 14x + 48

a = 2   b = -14  c = 48

200

What is a,b,c in x² - 11x + 30

a = 2   b = -14  c = 48

300

What is a,b,c in x² - 9

a = 1   b = 0  c = -9

400

What is a,b,c in x² - 10x + c

a = 1  b = -10  c = 25 

500

What is a,b,c in x² - 18x + c

a = 1   b = -18  c = 81

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

400

Factor x² - 49

(x + 7)(x - 7)

500

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

400

Find c: x² - 13x + c

c = 42.25

500

Find c: x² + 1.5x + c

c = 0.5625