g(x) = 17x^3 + 16x^4 +5x^7
h(c) = 6c^15 +17c^21 +8c^24
g(x) = 5x^7 +16x^4 +17x^3 = x^3(5x^4 +16x +17).
h(c) = 8c^24+17c^21+6c^15 = c^15(8c^9 +17c^6 +6).
There is no question here. Just two functions.
What are you supposed to do with them?
What do you want to do with g(x) and h(c) ?