What are Polynomials?

Naming Polynomials

100

2p⁴+p³

Quartic Binomial

200

-10a

Linear Monomial

300

-10k²+7

Quadratic Binomial

400

-7n⁷+7n⁴

7th degree binomial

500

8p⁵-5p³+2p²-7

Quintic Polynomial

Simplifying Polynomials

100

5x⁵-7x³+3x²-5x⁵

-7x³+3x²

200

5x²+2x²-8x³-(2x²+5x)

-8x³+5x²-5x

300

2(z²+2z²-5z³)+8z³+19

-2z³+6z²+19

400

10+2y²-(8y³-y²+5y³)

-13y³+3y²+10

500

-5(x⁶+10)-8(14-x⁶)

3x²-162

Adding/Subtracting Polynomials

100

(5p² − 3) + (2p²− 3 p³ )

− 3 p³+7p²-3

200

(a³ − 2a²) − (3a² − 4a³)

5a³-5a²

300

(4 + 2n³ ) + (5n³+ 2)

7n³+6

400

(−4k⁴ + 14 + 3k²) + (−3k⁴ − 14k² − 8)

-7k⁴-11k²+6

500

(3 − 6n⁵ − 8n⁴ ) − (−6n⁴ − 3n − 8n⁵ )

2n⁵-2n⁴+3n+3

Put into standard form

100

4x-9x²+4x³-5x⁴

-5x⁴+4x³-9x²+4x

200

k²-k-10k⁴

-10k⁴+k²-k

300

-4-2a²+8a

-2a²+8a-4

400

b⁴+5b⁵+4b⁶

4b⁶+5b⁵+b⁴

500

4r⁶-3r²-8r⁴

4r⁶-8r⁴-3r²