Ch 8: Polynomials Review

Adding and Subtracting Polynomials

100

Simplify:

(g - 4) + (3g - 6)

4g - 10

200

Simplify:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²) - k³

4k² -7k -4

500

Find the missing side of a triangle if the perimeter is 6x²-4x+11 inches, and two sides are 5x²-6x-2 inches and -x²+10x+5 inches.  (Hint: Draw a picture)

2x²-8x+8

Multiplying Polynomials

100

Simplify:

3x(x²-1)

3x³-3x

200

7ab(-3a+4ab)

-21a²b + 28a²b²

300

Simplify:  (x+4)(x-9)

x²-5x-36

400

Simplify:  (4x-8)²

16x² - 64x + 64

500

A picture measures 3x² - 1 by 2x inches.  A frame around it measures 7x²+2x by 8x.  Find the area of just the frame (not including the picture). 

(50x³ + 16x² + 2x)  square inches

Factoring

100

Factor:  30x-42

6(5x-7)

200

Factor:     5a³+2a²

a²(5a+2)

300

Factor completely:   2x² - 8

2(x+2)(x-2)

400

Factor:  2p² + 3p +1

(2p+1)(p+1)

500

Factor completely:

3n³+30a²+63a

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

More Factoring

100

Factor:

p² +2p -35

(p-5)(p+7)

200

Factor:

z² - 4z - 21

(z+3)(z-7)

300

Factor:

-5y² - 22y - 8

(-5y-2)(y+4)

400

Factor:

x² - 3x + 4ax - 12a

(x+4a)(x-3)

500

Factor:

n³ - 9n

n(n+3)(n-3)

Random Trivia

100

What color is Sonic the Hedgehog?

Blue

200

What is the largest island in the world?

Greenland

300

In Greek mythology, who is the goddess of wisdom and warfare?

Athena

400

The line "To be or not to be" comes from which Shakespeare play?

Hamlet

500

 In what country could you find the Leaning Tower of Pisa?

Italy