Operations with Polynomials

Addition

100

(5y+4)+(-2y+3)

3y+7

200

(2n²-5n-6)+(-n²-3n+11)

n²-8n+5

300

(9r²+4r-7)+(3r²-3r)

12r²+r-7

400

(-3p³+5p²-2p)+(-p³-8p²-15p)

-4p³-3p²-17p

500

(3x³-2x+4x²-1)+(4x-2x³+3-2x²)

x³+2x²+2x+2

Subtraction

100

(d-9)-(3d-1)

-2d-8

200

(6x+11)-(7x-9)

-x+20

300

(4m²-m+2)-(-3m²+10m+4)

7m²-11m-2

400

(-r-10)-(-4r³+r²+7r)

4r³-r²-8r-10

500

(r²-6r³-4)-(6+5r³+2r-r²)

-9r³+2r²-2r-10

Multiplication Monomials

100

(3x²)(2x⁴)

6x⁶

200

9x(4x⁴)

36x⁵

300

5x²y³(3xy⁵)

15x³y⁸

400

7x⁴y(3x⁶y³z)

21x¹⁰y⁴z

500

-2x^-3y⁵z(4x⁶y^-4z²)

-8x³yz³

Multiplication Binomials

100

(b+3)(b+7)

b²+10b+21

200

(k+5)(k-1)

k²+4k-5

300

(r-9)(r-3)

r²-12r+27

400

(v²-8v)(v+3)

v³-5v²-24v

500

(5d-12)(-7+3d)

15d²-71d+84

Factoring

100

3x+12

3(x+4)

200

5x²-25x

5x(x-5)

300

21x⁴+49x²

7x²(3x²+7)

400

64x⁴-16x²-8x

8x(x³-2x-1)

500

34x⁵+16x³-4x²

2x²(17x³+8x-2)