PLEASE HELP!!! I need help with this math problem

f(x) / g(x)
= (x^3 + 6x^2 + x^1/2) / (x^1/2)
= x^(3 - 1/2) + 6x^(2 - 1/2) + x^(1/2 - 1/2)
= x^5/2 + 6x^3/2 + x^0
= x^5/2 + 6x^3/2 + 1
Answer is C.
x^5/2 + 6x^3/2 + 1