POLYNOMIALS

Addition

100

(x²-5x)+(3x²+x)

4x²-4x

200

(23-12x²+4x)+(31x+12)

-12x²+35x+35

300

(4x⁴-x²+5x⁵)+(2x²+x⁴-x⁵)

4x⁵+5x⁴+x²

400

(3x²-12x⁶+5-25x⁴)+(x⁴+7x²-9x⁶+18x)

-21x⁶-24x⁴+10x²+18x+5

500

(13x⁴+2)+(x⁴y²+2-2x⁴)+(-13x²y³+5x⁴)

16x⁴+x⁴y²-13x²y³+4

Subtraction

100

(13x+6)-(4x+12)

9x-6

200

(3x²-5x)-(-4+x²+x)

2x²-6x+4

300

(x²-3x+7)-(6x²+4x+12)

-5x²-7x-5

400

(-3x+15x²+11)-(1+2x³+6x-x²)

-2x³+16x²-9x+10

500

(-10xy³-4y⁴)-(-2y⁴-7xy³-6y³)

-2y⁴-3xy³+6y³

Multiplication

100

3x(6x²+5x-4)

18x³+15x²-12x

200

(2x+5)(3x²-4x+2)

6x³+7x²-16x+10

300

(x²+9x+7)(3x²+9x+5)

3x⁴+36x³+107x²+108x+35

400

(x-2)³

x³-6x²+12x-8

500

(2x+3)⁴

16x⁴+96x³+216x²+216x+81

Division

100

(4x²+5x+1)/(x+1)

4x+1

200

(x²+9x+6)/(x+8)

x+1-[2/(x+8)]

300

(x⁴-7x³+9x²-22x+25)/(x-6)

x³-x²+3x-4+[1/(x-6)]

400

(x⁴-3x³-7x-14)/(x-4)

x³+x²+4x+9+[22/(x-4)]

500

(x⁴-5x+10)/(x+3)

x³-3x²+9x-32+[106/(x+3)]

Other

100

What is the degree of the monomial?

8x³y⁹

12

200

What is the maximum amount of terms in a quartic polynomial?

5

300

Classify the polynomial. What is the leading coefficient?  

6x+51x⁴+2x⁵

Quintic trinomial.

Leading coefficient is 2.

400

What term(s) are missing in the polynomial?

-5x²+6x⁴+2

Cubic and linear terms

500

What is the degree of the polynomial? 

4x⁴+2x²-6x⁶+3x³-x

6th degree