Chapter 4 Review Jeopardy!

4.1 Addition/Subtraction

100

(12x+5)+(7-3x)

9x+12

200

(5x³+2x²)+(4x-2x²+3x³)

8x³+4x

300

(4x²+3x)-(2x+3x²-6x⁵)

6x⁵+x²+x

400

(x²-3x+4)-(3x+x³-4)

-x³+x²-6x+8

500

(5xy+4y²-3x)-(4x-7xy-3y²)+(3xy²+4)

-7x+12xy+3xy²+7y²+4

4.1 Classifying Polynomials

100

12z⁴

Quartic Monomial

200

4x-3

Linear Binomial

300

5x³-4x+3

Cubic Trinomial

400

4x⁴-3x+5

Quartic Trinomial

500

5x⁵+12x³+1+x

Quintic Polynomial

4.2 Multiplication

100

12x(2x²z)

24x³z

200

3xy(4x-6y²)

12x²y-18xy³

300

(5x+4)(2x³+3)

10x⁴+8x³+15x+12

400

(4x+3)(3x²-5x+3)

12x³-11x²-3x+9

500

(4x²+3x+2)(3x²+2x-1)

12x⁴+17x³-8x²+x-2

4.3 Division

100

Divide the following polynomials by long division:

(2x³-3x²+x-2)÷(x+2)

2x²-7x+15-(32/x+2)

200

Divide the following polynomials by long division:

(x⁴+2x²-2x+4)÷(x-1)

x³+x²+3x+1+(5/x-1)

300

Divide the following polynomials by synthetic division:

(3x⁴-18x²-3x³+x-4)÷(x+2)

3x³-9x²+1-(6/x+2)

400

Divide the following polynomials by long division:

(2x³+2x²-37x+3)÷(x-4)

2x²+10x+3+(15/x-4)

500

Divide the following polynomials by synthetic division:

(-5x²+4+x⁴-x)÷(x-3)

x³+3x²+4x+11+(37/x-3)

4.4 Factoring & Substitution

100

Evaluate using synthetic substitution:

P(x)=3x³+2x²-5x+1 for x = 2

P(2) = 23

200

Factor the following polynomial:

x²-2x-8

(x-4)(x+2)

300

Factor the following polynomial:

x³-64

(x-4)(x²+4x+16)

400

Evaluate using synthetic substitution:

P(x) = x⁵-4x²+3x-2 for x = -2

P(-2) = -56

500

Factor the following polynomial:

3x⁴+24x

3x(x+2)(x²-2x+4)