Given the functions, f(x)=30x4+9x3+27x2−21x−17 and g(x)=6x+3, divide f(x) by g(x) and simplify.

Question options:

a.5x3−x2+5x−6+16x+3

b.5x3−x2+5x−6−36x+3

c.5x3−x2+5x−6+66x+3

d.5x3−x2+5x−6+86x+3