Standard Form
7x -15x3
-15x3+7x
x
first degree
2a+9a
11a
2y-21y
-19y
Polynomial or Not?
4x+3x
Not! Because x cannot be in the exponent.
2x3-5x+9x4
9x4+2x3-5x
5x2-2.5x3
Third degree
3x2+5x2
8x2
4x3y-x3y
3x3y
x2 - x/2
Polynomial!
-9x2-17x3+6x5-3x3
6x5-20x3-9x2
14x1/2-19x9
9th degree
(7x2+6x-1)+(2x2-2x+4)
9x2+4x+3
2x2y4-7x2y4
-5x2y4
Polynomial or Not?
1 / x
Not! A polynomial cannot have a negative exponent and 1/x is the same as x-1
4x0+12-4x6+9x3+5x6
x6+9x3+16
7x6-x7+9x6
7th degree!
x2+4(x-7)+6x2
7x2+4x-28
(4x3-3x-2)-(2x3+5x-2)
2x3-8x
2n(n2-3n+1)
2n3-6n2+2n