Here is the question as posed to me in my homework (actually... it's a take home test, so its even more important!)

f(x)= 6x^5 + 5x^4 - 35x^3 - 21x^2 + 51x + 18.

A: Find all of the zeros of f(x).

B: Write f(x) in factored form.

C: Draw an approximate sketch of f(x)

-2, -1/3, 3/2 are the three zeros that i have found using synthetic divison. The remaining equation i have left is 6x^2 - 18 which I have factored into 6(x^2 - 3). Is this the correct action to take (as in factoring it out) and what would be the remaining two zeros? Would it be -3 and 3? How do I write f(x) into factored form? And how would I draw an approximate sketch of that? IF someone could help me out... I would be forever in debt to them. THANKS IN ADVANCE!