Polynomials

Adding Polynomials

100

(4x² +2x-1)+(3x²-x-4)

7x²+x-5

200

(2y+5)+(8y-8)

10y-3

300

(3x-2)+(4x²-9x)+(2x²-3x+1)

6x²-9x-1

400

(3x-5)+(2x²-4x+3)

2x²-x-2

500

(5m⁴-2m+m²-7)+(3m³-7m⁴-8m+1)

-2m⁴+3m³+m²-10m-6

Subtracting Polynomials

100

(6-8x)-(3x²+4x-8)

-3x²-12x+14

200

(5x²-7x-8)-(-2x²+4x-6)

7x²-11x-2

300

(4x-9)-(6x-8)

-2x-1

400

(3x²-2xy-3y²)-(-4xy-6y²)-(5x²+2xy-y²)

-2x²+4y²

500

(3x²-2x+1)-(4x²-x+5)

-x²-x-4

Multiplying by a Monomial

100

-7(2x²+3x+8)

-14x²-21x-56

200

-6m(2m²-8m-5)

-12m³+48m²+30m

300

3m²(2m+6)

6m³+18m²

400

-4m²(3m²-7m+2)

-12m⁴+28m³-8m²

500

3x²y(4x-7)

12x³y-21x²y

Multiplying by a Binomial

100

(x+3)(x+2)

x²+5x+6

200

(x-4)(x+12)

x²+8x-48

300

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

12x²-5x-3

400

(2xy-5z)(7xy+3z)

14x²y²-29xyz-15z²

500

4ab(2bc-7a)(3bc+8a)

24ab³c²-20a²b²c-224a³b

Dividing by a Monomial

100

(10z^93)/(2z^8)

5z⁸⁵

200

(4x^2y^2z^2)/(xy^2z^2)

4x

300

(15a^2+9a^4)/(3a)

5a+3a³

400

(xy^3z-4y^2z+6xyz-y^3z)/(yz)

xy²-4y+6x-y²

500

(6r^2s^3t+2s^3t^2-8rs^4t^3)/(2s^2t)

3r²s+st-4rs²t²

Mixed Bag

100

4x(4x-5)

16x²+20x

200

(4x+5)-(4x-5)

10

300

(4x²)³

64x⁶

400

xy(x+2)

x²y+2xy

500

mn(q+p)

mnq+mnp