Factoring Polynomials & Solving Quadratics by Factoring

GCF

100

2n³ - 20n²

What is 2n²(n-10)

200

5b² + 45b

What is 5b(b + 9)

300

16n² + 48n

What is 16n(n + 3)

400

2vm² - 14vm

What is 2vm(m - 7)

500

25mp² - 45mp

What is 5mp(5p - 9)

Easy Case

100

n² + 8n = -15

(n+5)(n+3)=0

200

x² -11x + 19 = -5

(x - 8)(x - 3)=0

300

n² - 10n + 22 = -2

What is (x - 6)(x - 4)

400

n² + 3n -12 = 6

What is (x + 3)(x - 6)= 0

500

b² + 5b - 35 = 3b

What is (x - 7)(x + 5)= 0

hard case

100

2n² + 5n + 2 = 0

What is (2x+1)(x+2) 

200

3n² -8n + 4 = 0

What is (3x -2)(x -2) x = 2/3, x = 2

300

6b² - 13b + 3 = -3

What is (3x-2)(2x - 3)=0

400

7k² - 6k + 3 = 3

What is x(7x - 6)

500

8x² + 21 = -59x

What is (8x+3)(x+7) 

Difference of 2 squares

100

a² - 9 = 0

What is (x +3)(x - 3)

200

4m² - 25 = 0

What is (2m+5)(2m-5)

300

9x² - 1

What is (3x-1)(3x+1)

400

81x² - 121

What is (9x-11)(9x+11)

500

1 - r² = 0

What is (r-1)(r+1)

Combination

100

400 - 36x² = 0

What is 4(10-3x)(10+3x)

200

98x² - 200

What is 2(7x -10)(7x+10)

300

2x² + 28x + 96

What is 2(x+6)(x+8)

400

10x² - 105x + 135

What is 5(2x-3)(x-9) 

500

12x² - 64x +80 = 0

What is 4(3x-10)(x-2)