Polynomial Algebra, Factoring, and Solving

Adding Polynomials

100

Add the following polynomials

x⁴+4x⁴

What is 5x⁴?

200

Add the following polynomials

(x²-3)+(3x²+7)

What is 4x²+4?

300

Add the following polynomials

(3x³+x²+9)+(x³-3x²+1)

What is 4x³-2x²+10?

400

Add the following polynomials

(-9k³-3k²h+h⁴)+(k³-7kh²+4h⁴)

What is -8k³-3k²h-7kh²+5h⁴?

500

Add the following polynomials

(2k³-7k)+(-5k³-k²-3k)

What is -3k³-k²-10k?

Subtracting Polynomials

100

Subtract the following polynomials

7x⁴-2x⁴

What is 5x⁴?

200

Subtract the following polynomials

(a³-2a²)-(4a³+3a²)

What is -3a³-5a²?

300

Subtract the following polynomials

(4r³+3r⁴)-(-5r³+r⁴)

What is 9r³+2r⁴?

400

Subtract the following polynomials

(8n-3n⁴+10n²)-(3n²+11n⁴-7)

What is -14n⁴+7n²+8n+7?

500

Subtract the following polynomials

(3-6n⁵-8n⁴)-(-6n⁴-3n-8n⁵)

What is 2n⁵-2n⁴+3n+3?

Multiplying Polynomials

100

Multiply the following polynomials

w²(w²+3)

What is w⁴+3w²?

200

Multiply the following polynomials 

r²(7r³-3r+9)

What is 7r⁵-3r³+9r²?

300

Multiply the following polynomials

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

What is 18m²+21m-9?

400

Multiply the following polynomials

(x-9)²

What is x²-18x+81?

500

Multiply the following polynomials

(5x+y)²

What is 25x²+10xy+y²?

Factoring Polynomials

100

Factor the polynomial

15g²-5g

What is 5g(3g-1)?

200

Factor the polynomial

3g⁵+9g³-18g²

What is 3g²(g³+3g-6)?

300

Factor the polynomial 

x²-4x-8

What is (x-6)(x+2)?

400

Factor the polynomial

x²+5x-14

What is (x-2)(x+7)?

500

Factor the polynomial

x²+16

What is (x+4)(x-4)?