Chapter 12B Review

Adding and Subtracting Polynomials

100

(4x²+3x) + (9x³+2x-3)

9x³+4x²+5x-3

200

(8x²+2x-9)-(4x²+2x-11)

4x²+2

300

(15x²-4x+5)-(9x²+2x-8)

6x²-6x+13

400

(8x⁴+2x²)+(5x²+x²)

8x⁴+5x³+3x²

500

A square has the side lengths of (x-2).  What is the perimeter?

4x-8

Multiplying Polynomials

100

2x(4x+2)

8x²+4

200

x²(x+8)

x³+8x²

300

(5x+1)²

25x²+10x+1

400

(x+2)(x-8)

x²-6x-16

500

A square has the side lengths of (x-2).  What is the area?

x²-4x+4

Factor Polynomials

100

25x³-30x²

5x²(5x-6)

200

x²+1x-56

(x+8)(x-7)

300

8x²+4x

4x(2x+1)

400

x²-81

(x+9)(x-9)

500

2x²+3x-27

(2x+9)(x-3)

Solving Polynomials

100

x²-11x+24=0

x=8 and x=3

200

x²-1x-2=0

x=2 and x=-1

300

x²+7x+12=0

x=-3 and x=-4

400

2x²+17x+21=0

x=-3/2 and x=-7

500

3x²-2x-8=0

x=-4/3 and x=2

Mixed Bag

100

What is the missing?

4x²(x+1)=4x³+____

4x²

200

Factor the polynomial completely

7x²-63x

7x(x-9)

300

(x-7)²

x²-14x+49

400

What is the area of a rectangle that has side lengths of (2x-5) and (x-1)?

2x²-7x+5

500

Solve the quadratic function.

2x²-1x-3+0

x=3/2 and x=-1