# What are all the possible rational zeros for #f(x)=x^3+5x^2-48x-10# and how do you find all zeros?

##### 1 Answer

Oct 20, 2016

The only rational zero is

#### Explanation:

As putting

gives

Hence,

Hence

=

=

As the determinant in

Irrational zeros can be had using quadratic formula as

i.e.