# What are all the possible rational zeros for #f(x)=x^3+11x^2+35x+33# and how do you find all zeros?

##### 1 Answer

Dec 26, 2016

#### Explanation:

You would find rational zeros in the set of integer and negative numbers dividing the known term 33, which are -1; -3; -11; -33.

Using the remainder theorem, you will find that

but

So -3 is a rational zero.

Then you will divide:

By using quadratic formula, you would find the not rational zeros: