Polynomial Operations

Adding Polynomials

100

Solve:

(2x²+x+3)+(5x²+3x-1)

What is 7x²+4x+2

200

Solve:

(2x³+9-x)+(5x²+4+7x+x³)

What is 3x³+5x²+6x+13

300

Solve:

(-36x²+6x-11)+(6x²+16x³-5)

What is 16x³-30x²+6x-16

400

Solve:

(2x^4+5x^3+6x^2-8x+10)+(3x^3-4x^2+4x-6)

What is 2x^4+8x^3+2x^2-4x+4

500

Solve:

(5x^4+2x^3+6x^2-8x+9)+(-x^4-3x^3-8x^2+7x-11)

What is 4x^4-x^3-2x^2-x-2

Subtracting Polynomials

100

Solve:

(3-2x²)-(x²+6-x)

What is -3x²+x-3

200

Solve:

(x²+x+8)-(x²+x-5)

What is 13

300

Solve: 

(5x³+12++6x²)-(15x²+3x-2)

What is 5x³-9x²-3x+14

400

Solve:

(3x³+6x²+7x-4)-(x³-9x²+2x+1)

What is 2x³+15x²+5x-5

500

Solve:

(5x⁴-7x³-5x²+8x-1)-(2x³-6x²+3x-10)

What is 5x⁴-9x³+x²+5x+9

Multiplying Polynomials

100

Solve:

(7x²+2x+6)(x+4)

What is 7x³+30x²+14x+24

200

Solve:

(x+y)(x²-xy+y²)

What is x³+y³

300

Solve:

(a+b)(a+2ab+b)

What is a²+2a²b+2ab+2ab²+b²

400

Solve:

(6x-12)(2x+7)(x+1)

What is 12x³+30x²-66x-84

500

Solve:

(x²+9x+2)(x+3)(3x²+2x+7)

What is 3x^5+38x^4+118x^3+160x^2+215x+42