# How do you find the zeros of the polynomial function with equation #f(x) = x^3 +7x^2 - 4x - 28#?

##### 1 Answer

May 4, 2016

Using the Factor Theorem (hoping or integer factors) we find zeros at

#### Explanation:

According to the Factor Theorem if

they must be factors of

The possible factors are therefore

Testing these factors:

we find three zeros (as given in the "Answer" above.

Since the given expression is of degree 3 and we have 3 zeros, these 3 zeros represent all possible solutions.