Factoring and Solving Quadratics

Factoring "Easy" Trinomials

100

x² + 5x + 6

(x+2)(x+3)

200

x² - 4x - 45

(x-9)(x+5) 

300

h²+16h+63

(h+7)(h+9)

400

m²-3m-70

(m-10)(m+7)

500

m²+12m-85

(m+17)(m-5)

Factoring Binomials

100

100x² - 9

(10x+3)(10x-3)

200

15x² + 3x

3x(5x+1)

300

4x² - 16x

4x(x-4)

400

4x² - 100

4(x+5)(x-5)

500

25x²-121y²

(5x+11y)(5x-11y)

Factoring "Hard" Trinomials

100

5x² + 13x + 6

(5x+3)(x+2)

200

6x² - 5x - 4

(2x+1)(3x-4)

300

10x² - 35x + 30

5(2x-3)(x-2)

400

24x³ + 52x² - 20x

4x(3x-1)(2x+5)

500

21x²-11x-40

(3x-5)(7x+8)

GCF

100

8x² - 16x

8x(x-2)

200

18x² + 9x

9x(2x+1)

300

9x² +6x-36

3(3x²+2x-12)

400

18x³+ 30x²-24x

6x(3x²+5x-4)

500

-9x⁵+9x⁴-6x³+6x²-9x

-3x(3x⁴-3x³+2x²-2x+3)

Factor completely

100

3x² + 24x +21

3(x+1)(x+7)

200

4x² - 16x 

x = -3/2, -5/2

300

14x⁴-56x²

14(x+2)(X-2)

400

25x³+ 150x² +225x

25(x+3)(x+3)

500

6x³+32x²+10x

2x(3x+1)(x+5)