# What are all the possible rational zeros for #f(x)=3x^3+5x^2-11x+3# and how do you find all zeros?

##### 1 Answer

Aug 21, 2016

#### Answer:

The zeros are:

#### Explanation:

To find the rational zeros of a polynomial with integer coefficients we use the Rational Roots Theorem .

In this example we have:

We can easily guess that

To find other roots we can either check the remaining values (the theorem says there are no other rational zeros) or divide the polynomial by