# What are all the possible rational zeros for #f(x)=x^3+x^2-19x+5# and how do you find all zeros?

##### 1 Answer

The possible rational zeros are

The zeros are

#### Explanation:

The possible rational zeros are the factors of the constant term

To find all the zeros, choose one of the possible zeros and use synthetic division. If the remainder is zero, you have verified that the possible zero is in fact a zero.

Choosing

The remainder is zero, so

The coefficients of the result of synthetic division give

The zeros are