Chapter 7 H Test Review

Multiply Polynomials (7.2 - 7.3)

100

Find the product (must be in standard form): 

a(4a+3)

4a²+3a

200

Find the product (must be in standard form):

2y²(y⁵-4y)

2y⁷-8y³

300

Find the product (must be in standard form):

3r⁴(5r² - r + 4)

15r⁶ - 3r⁵ + 12r⁴

400

Find the product (must be in standard form):

(2r + s)(2r - s)

4r² - s²

500

Find the product (must be in standard form):

(x+4)²

x² + 8x + 16

Solving Polynomials (7.4)

100

Solve: 

(x+5)(x-2) = 0

x=-5,2

200

Solve: 

a²+5a = 0

a= -5,0

300

Solve: 

g² + g - 6

g = -3, 2

400

Solve: 

3s² - 9s = 0

s = 0,3

500

Solve: 

14r - 35 = 0

r = 5/2 or 2.5

GCF (7.4)

100

Find the GCF:

8m, 36n

4

200

Find the GCF:

21cd, 3d

3d

300

Find the GCF:

15a²b, 30ab

15ab

400

Find the GCF:

2x²y, -2xy², 4xy

2xy

500

Find the GCF:

3a³b²c, -9a²b³c², 15ab⁴c³

3ab²c

Factoring (7.5 - 7.7)

100

Factor: 

9b² - 100

(3b + 10)(3b - 10)

200

Factor: 

60x²+4x-8

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

300

Factor: 

64u² - v²

(8u + v)(8u - v)

400

Factor: 

-x²+10x+39

- (x-13)(x+3)

500

Factor: 

3a³+30a²+63a

3a (a+7)(a+3)

Factoring by Grouping (7.8)

100

Factor: 

3x³ - 21x² +2x - 14

(3x²+2)(x-7)

200

Factor:

a³-9a²b+ab-9b²

(a²+b)(a-9b)

300

Factor:

m³-m²n+m-n

(m²+1)(m-n)

400

Factor:

3x+7y-21-xy

(x-7)(3-y)

or

(x-7)(-y+3)

500

Factor: 

3x²+6+2x+x³

(x²+2)(x+3)