Hey there I need some help on what to do next for this problem.
In how many ways can you make change for a dollar using
pennies, nickels, dimes, quarters, and half-dollars?
so far I got
(1+x+x^2+x^3+...+x^100) <-- pennies
(1+x^5+x^10+x^15+....+x^100) <- nickels
(1+x^10+x^20+x^30+...+x^100) <- dimes
(1+x^25+x^50+x^75+x^100) <- quarters
(1+x^50+x^75+x^100) <- half dollars
and the generating function is
what do I do from here to get the answer I need?