Chapter 10 Review

Distributive Property

100

Find the greatest common factor of 6m³ and 10n

2n

200

Factor (7x-14)

7(x-2)

300

Factor 

8w² + 7w³ 

w²(8+7w)

400

Factor by grouping 

w³ + 4w² + 5w + 20

(w² + 5)(w+4)

500

Factor by grouping

4sp - 4rp + 5s - 5r

(4p+5)(s-r)

Factor Quadratics

100

Factor 

y² - 12y + 35

(y-7)(y-5)

200

Factor

z² + 13z + 12

(z+1)(z+12)

300

Factor

x² - 11x - 26

(x+2)(x-13)

400

Factor Completely

5w²+15w-50

5(w-2)(w+5)

500

2x² - 23x + 30

(2x-3)(x-10)

Factor Quadratics 2

100

-3w² + 19w + 14

-(3w+2)(w+7)

200

4x² - x - 3

(4x+3)(x-1)

300

-u² - 8u - 12

-(u+6)(u+2)

400

4x² - 8x - 21 

(2x+3)(2x-7)

500

-4v² + 28v + 72

-4(v-9)(v+2)

Special Products

100

Factor 

w² + 2w + 1

(w+2)² 

200

49w² - 56w + 16

(7w-4)²

300

16x² - 24x + 9

(4x - 3)²

400

4z ⁴- 64z² 

(2z²-8z)(2z²+8z)

500

3u⁴ + 24u³ + 48u² 

3u²(u+4)²