Algebraic Polynomial Ninja

Adding Polynomials

100

 (5p² − 3) + (2p² − 3 p³ )

What is -3p³+7p-3

200

(4 + 2n³) + (5n³ + 2)

what is 7n³+6?

300

(2x³y – 5xy + 3y²) + (7xy – 6y² + 5x³y)

what is 7x³y-3y²-2xy

400

(9x⁴+3x-2) + (-2x²-9x+20)

what is 9x⁴+x³-2x²-6x+18

500

(12x⁵+9x³+4x⁴-5x+2)+(25x⁵-6x⁴+7x³+8)

what is 37x⁵-2x⁴+16x³+x²-5x+10

Subtracting Polynomials

100

(a³-2a²)-(3a²-4a³)

what is 5a³-5a²

200

(4n-3n³)-(3n³+4n)

what is -6n³

300

(3n − 6n⁵ − 8n⁴+4n²) − (−6n⁴ − 3n² − 8n⁵+5n)

what is 2n⁵ − 2n⁴ + 3n + 3

what is 2n⁵-2n⁴+-x³+7n²-2n

400

(3v⁵ + 8v³ − 10v²) − (−12v⁵ + 4v³ + 14v²)

what is 12v⁵ + 3v⁵ +v⁴+4v³-10v²− 14v²

500

(14p⁴+11p²−9p⁵) − (−14 + 5p⁵− 11p²)

what is −14p⁵+14p⁴+x³+ 22p²+14

Multiplying Polynomials

100

2x(−2x-3)

what is −4x²-6x

200

(4n + 1)(2n + 6)

what is 8n² + 26n + 6 

300

(6p + 8)(5p − 8)

what is 30p²−8p−64

400

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

what is 44x²-89+21

500

(19x-9+15x)(13+7x+5x)

what is 408x²+334x-117

Dividing Polynomials

100

(x⁶+6x²+3)/(x²+8)

what is x⁴-8²+70-557/x²⁺⁸

200

(k²-7k+10)/(k−1)

what is k-6+4/k-1

300

(x³-8x+2)/(x+14)

what is -5+72/x+14

400

(x²+25-20x-14)/(x+12)

what is x-32+395/x+12

500

(p³-10p²+20p+26)/(p − 5)

what is p²-5p-5+1/p-5

Binomial Expansion

100

(2a+2)²

what is 4x²+8x+4

200

(6x+2)³

what is 216x³+216x²+72x+8

300

 (2x+9)⁴

what is 16x⁴+288x³+1944x²+5832x+6361

400

(6x+5)³

216x³+540x²+450x+125

500

(3x+2)³

what is 27x³+54x²+36x+8