A polynomial is a statement like this:
(x^2+x+1)
It's an addition statement in parentheses (that is, a quantity), with x values ordered by what power they're raised to. More examples include:
(3x^2+8x+18)
(-2x^2-3x+4)
Or even:
(x^16-18x^13+12x^8-52000x^2+12)
I hope this helps.