Module 6 Test Review

Adding Polynomials

100

Add the following polynomials

x⁴+4x⁴

5x⁴

200

Add the following polynomials

(x²-3)+(3x²+7)

4x²+4

300

Add the following polynomials

(3x³+x²+9)+(x³-3x²+1)

4x³-2x²+10

400

Add the following polynomials

(-9k³-3k²h+h⁴)+(k³-7kh²+4h⁴)

-8k³-3k²h-7kh²+5h⁴

500

Add the following polynomials

(2k³-7k)+(-5k³-k²-3k)

-3k³-k²-10k

Subtracting Polynomials

100

Subtract the following polynomials

7x⁴-2x⁴

5x⁴

200

Subtract the following polynomials

(a³-2a²)-(4a³+3a²)

-3a³-5a²

300

Subtract the following polynomials

(4r³+3r⁴)-(-5r³+r⁴)

2r⁴+9r³

400

Subtract the following polynomials

(8n-3n⁴+10n²)-(3n²+11n⁴-7)

-14n⁴+7n²+8n+7

500

Subtract the following polynomials

(3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)

2n⁵-2n⁴+3n+3

Multiplying Polynomials

100

Multiply the following polynomials

w²(w²+3)

w⁴+3w²

200

Multiply the following polynomials 

r²(7r³-3r+9)

7r⁵-3r³+9r²

300

Multiply the following polynomials

(9m-3)(2m+3)

18m²+21m-9

400

Multiply the following polynomials

(3r²+5)²

9r⁴+30r²+25

500

Multiply the following polynomials

(t²+4)(t³+6t-3)

t⁵+10t³-3t²+24t-12

Factoring Polynomials

100

Factor the polynomial

15g³-5g

5g(3g²-1)

200

Factor the polynomial

3g⁵+9g³-18g²

3g²(g³+3g-6)

300

Factor the polynomial 

16x²-4

(4x+2)(4x-2)

400

Factor the polynomial

x²+5x-14

(x+7)(x-2)

500

Factor the polynomial

4x²+22x+10

2(2x-1)(x-5)

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

degree is 7

200

Classify this polynomial:

2x³+3x-7

trinomial

cubic

degree 3

300

Classify:

10

monomial

constant

integer/number

400

True or False

Polynomials can have constants, variables and exponents

True

500

1)Write this polynomial in standard form, 2)What is the degree, 3)How many terms are there, 4)What is the leading coefficient.

6x³-3x+12x⁵+x⁴

1) 12x⁵+x⁴+6x³-3x

2) degree is 5

3) 4 terms

4) LC=12