Question

How to solve this?I am looking for all the zeros of f(x) algebraically

Answer 1

For this case we have the following polynomial:

`f(x)=x^3+4x^2+36`

If x-4 is a factor then x=4 is a root of the polynomial but we can see that:

`f(4)\\e0`

Then we can conclude that x=4 is not a root

Possible roots for this case are:

x= -5.28760