Factoring & Solving Quadratics

Factoring Quadratics (easy)

100

Factor x² - 49

(x-7)(x+7)

200

Factor: 9x² - 25

(3x-5)(3x+5)

300

Factor 4x² - 144

4(x+6)(x-6)

400

Factor x² + 100

prime

500

Factor x² - 13x - 30

(x+2)(x-15)

Factoring Quadratics (not as easy)

100

Factor 2x² + 7x + 3

(2x+1)(x+3)

200

Factor 5n²+26n+5

(5n+1)(n+5)

300

Factor 2x²+10x-48

2(x+8)(x-3)

400

Factor 2x²-12x+10

2(x-1)(x-5)

500

Factor 8x² + 8x - 6

2(2x+3)(2x-1)

Simplifying Rationals

100

(3x-12) / (3x²-12x)

1/x

200

(x³ + 6x² - 7x) / (x² - 49)

x(x - 1) / (x - 7)

300

(x² - 5x + 6) / (x² + 2x - 15)

(x-2) / (x+5)

400

(5x² - 30x + 40) / (x² - 7x + 10)

5(x-4) / (x-5)

500

(4x²-4x-8) / (6x²+66x+60)

2(x-2) / 3(x+10)

Quadratic Formula

100

Solve: x²-3x+1=0

x=(3 +- srt 5) over 2

200

Solve: 2x²+2x=7

x= (-1 +- sqrt 15) over 2

400

Solve: x²-4x+4=0

x=2

500

4x²-x+4=x+7

x=(1 +- sqrt 13) / 4