polynomials

degree

100

2x²-5x⁴ +7x

degree=4

200

x-x²+9

Degree=2 

300

6-2x²+4x+1/2x³

degree= 3

400

x² +4x + 3

Degree =2

500

x⁴+8

degree=4

The leading coefficient

100

2x²-5x³+7x-1

coefficient=-5  

200

x²-3x+8 

1

300

-6x⁴+2x²+7X-1

coefficient=-6

400

2²-2x³+4x

coefficient=-2

500

-17x

coefficient=-17

monomial binomial trinomial,

100

2x

is a monomial 

200

5x²+2x+3

is a trinomial 

300

3x³

is a monomial 

400

6x²+5+6x

is a trinomial. 

500

2x²+2

is a binomial 

combine like terms,

100

(9x²+7x+2) +(8x²=3x=5)

17x^2 + 4x - 3.

200

(-3x²=6x-5) (+2x²+4x-7)

=-1x²+10x-12

300

(6x-2x2) +(9x²-5x+6)

=7x²-1x+6

400

(x-5+x3) +(-x³+4x²-3x+1)

= 4x^2 - x + 1

500

(5x⁴+7X³-2x) +2x2) + (-4x³-8x²+9x-5)

= 5x^4 + 3x^3 - 6x^2 + 9x - 7. 

standard

100

5x³+2x²-8x+7

=4 

200

9x⁴-x²+2x+1

=4

300

3-2x-5x²

=3

400

2x⁵+4X-3

=3

500

1x²+1

=2