Polynomial Review

Adding Polynomials

100

(5x²+3x)+(2x²) 

7x²+3x

200

(7x³+18x²-5x)+(3x³-4x²+7x)

10x³+14x²+2x

300

(x⁵-x)+(20x-3)

x⁵+19x-3

400

(x²+4x³-8x+5)+(6x-2x²-7x³)

-3x³-1x²-2x+5

500

(18-6x⁵+2x³)+(12x⁴-3x³+2x²-x+3)

-6x⁵+12x⁴-x³+2x²-x+21

Subtracting Polynomials

100

(4x+3)-(18x+2)

-14x+1

200

(15x²-5x)-(3x²+10x)

12x²-15x

300

(x²+7x³)-(x³-6x)

6x³+x²-6x

400

(x⁵-13x+7x³)-(6x³+x²)

x⁵+x³+x²-13x

500

(x³+4x²-18x+24)-(x³-4x²+2x-3)

8x²-20x+21

Multiplying Polynomials

100

x(3x²+2x-8)

3x³+2x²-8x

200

5x²(8x+3)

40x³+15x²

300

(x+2)(x-5)

x²-3x-10

400

(3x+8)(3x-8)

9x²-64

500

(3x-2)²

9x²-12x+4

Naming Polynomials

100

7x²+3x

Quadratic Binomial

200

10x³+14x²+2x

Cubic Trinomial 

300

x⁵+19x-3

Quintic Trinomial

400

-3x⁶-1x²-2x+5

6th Degree Polynomial

500

-6x¹²+12x⁴-x³+2x²-x+21

12th Degree Polynomial

Exponential Rules

100

x¹

x

200

x⁰

1

300

x²*x⁵

x⁷

400

x³/x⁵

1/x²

500

(x⁷y)/(x²y³)

x⁵/y²