Sumner Polynomials #4

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)

5h⁴-8k³-3k²h-7kh²

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+6r-3)

t⁵+4t³+6t²r-3t²++24r-12

Factoring Polynomials

100

Factor the polynomial

15g³-5g

5g(3g²-1)

200

Factor the polynomial

3g⁴+9g³-12g²

3g²(g+4)(g-1)

300

Factor the polynomial 

16x²-4

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

400

Factor the polynomial

x²+5x-14

(x-2)(x+7)

500

Factor the polynomial

4x²+22x+10

(4x+2)(x+5)

General Polynomials

100

The degree of this polynomial: 

x³-7x²+4x⁵-19x⁷

7th degree polynomial

200

Classify this polynomial:

2x³+3x-7

3rd degree trinomial

300

Classify:

10

monomial

400

True or False

Polynomials can have constants, variables and exponents

True

500

The degree of this polynomial

6x³-3x+12x⁵+x⁴

5th degree polynomial