type of polynomial
Greatest degree
adding polynomials
subtracting polynomials
multiplying polynomials
100

3x^2

mononomial

100

3x2

2
100

x²+2x²

3x²

100

(2x)-(x)

x

100

(2x)(x)

2x2

200

2x-11

binomial

200

19x7

7

200

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

5x+3y

200

(3x-4)-(2x+1)

x-5

200

(3x)(x+4)

3x2+12x

300

56x3-23x+3

trinomial
300

3x3-2x+2

3

300

18x4-23x4+6x

-5x4+6x

300

(2x2+2x)-(x2-5x)

x2+7x

300

(2x2+2x)(4x2+x)

8x4+10x3+2x2

400

4x4-3x+2x-4

polynomial

400

(monomial) 7x4

4

400

(3x3+3x2-4x+5)+(x3-2x2+x-4)

4x3+x2-3x+1

400

(5x2+2x-3)-(2x2-5x)

3x2+7x-3

400

(6x2+2x+1)(3x-2)

18x3-6x2-x-2

500

900x5-234x2-44x+23x-33+2

polynomial
500

(monomial) 4x2y3

5

500

(4x4+2x3+12x2+4x-1)+(-10x2+7x+12)

4x4+2x3+2x2+11x+11

500

(3x3-2x2+x+9)-(7x2+2x-4)

3x3-9x2-x+13

500

(2x2+2x+4)(3x2+x-4)

6x4+8x3+6x2-4x-16