Operations With Polynomials

Adding Polynomials

100

-x²+6x⁶

6x⁶-x²

200

20x-4x³+1-2x²

-4x³-2x²+20x+1

300

(2x+5y)+(3x-2y)

5x+3y

400

8+4x³-2x²+5+5x³

9x³-2x²+13

500

(7-3k³+3k)+(3k+2+2k³)

-1k³+6k+9

Subtracting Polynomials

100

(5x+2)-(-2x²-3x+1)

2x²+8x-2

200

(-4x³+2-4x⁴)-(2-5x⁴)

1x⁴-4x³

300

(4a-3-2a²)-(7a-3)

-2a²-3a

400

(11m-10m³n²)-(4m-14n³+8m⁴n)-(-2m+5n³)

-8m⁴n-10m³n²+9n³+9m

500

(-11b²-7a³b)+(-11a³b+13ab²+5b²)-(2b²-10a³b)

8a³b+13ab²-8b²

Multiplying Polynomials

100

(x+6)(x-2)

x²-4x-12

200

(a+5)(a-1)

a²+4a-5

300

(p-6)²

p²-12p+36

400

(x+9)(x²+5x-2)

x³+14x²+43x-18

500

(x²+4x+1)(x²+5x-6)

x⁴+9x³+15x²-6

Classifying Polynomials

100

7

Constant

200

5v²+8v+5

Quadratic Trinomial

300

10x²-5x-3

Quadratic Trinomial

400

-14p⁴-6p²+8

Quartic Trinomial

500

-2p⁵-6p⁴+16p³+4p²+5p

Degree 5 Polynomial 

Mixed Polynomials

100

4c⁵

Quintic Monomial

200

6x²-4x³y³

Cubic Trinomial

300

(3x²-1)(x+2)

3x³+6x²-x-2

400

(-9a³+12a⁴-2a)-(-14a⁴-7-7a³)

26a⁴-2a³-2a+7

500

(4n+8n³+7n²-5n⁴)-(7n²+n⁴-4-7n)+(3n⁴+8n-7)

-3n⁴+8n³+5n-11