Chapter 8 Review

8.1

100

(3x^2 + 2) - (4x^2 - x - 9)

-x^2 + x + 11

200

(9x + 6x^3 - 8x^2) + (-5x^3 + 6x)

x^3 - 8x^2 + 15x

300

(11y^5 + 3y^2 - 4) + (y^2 - y + 1)

11y^5 + 4y^2 - y - 3

400

(3n^2 - 4n + 1) - (8n^2 - 4n + 17)

-5n^2 - 16

500

(-k^2 + 7k + 5) - (2k^4 - 3k^3 - 6)

-2k^4 + 3k^3 - k^2 + 7k + 11

8.2

100

(x - 4)(x + 2)

x^2 - 2x - 8

200

(2a - 1)(a - 3)

2a^2 - 7a + 3

300

(3x - 2)(x + 4)

3x^2 + 10x - 8

400

(5b^2 - b - 7)(b + 6)

5b^3 + 29b^2 - 13b - 42

500

(y^2 + 5y + 4)(3y + 2)

3y^3 + 17y^2 + 22y + 8

8.3 & 8.4

100

(2x - y)^2

4x^2 - 4xy + y^2

200

(3s + 5)(3s - 5)

9s^2 - 25

300

2a^2 + 26a = 0

0, -13

400

8x^2 - 4x = 0

0, 1/2 

500

21h^2 = 7h

0, 1/3

8.5 & 8.6

100

s^2 + 10s - 11

(s + 11)(s - 1)

200

y^2 - 10y + 21

(y - 7)(y - 3)

300

a^2 + 5a - 84

(a+12)(a-7)

400

4n^2 - 7n + 3

(4n - 3)(n - 1)

500

9a^2 - 6a - 24

3(3a + 4)(a - 2)

8.7 & 8.8

100

z^2 - 225

(z - 15)(z + 15)

200

16p^2 - 8p + 1

(4p - 1)^2

300

12 - 48n^2

12(1 - 2n)(1 + 2n)

400

y^2 + 3y + yx + 3x

(y + 3)(y + x)

500

x^3 + x^2 - 6x - 6

(x + 1)(x^2 - 6)