# How do you find the critical numbers for #x^4-2x^3-3x^2-5# to determine the maximum and minimum?

##### 1 Answer

Apr 20, 2016

Please see the explanation section below,

#### Explanation:

Factor out the common factor of

This leads to two lower degree polynomial equations:

The first has solution

#x= (-b+-sqrt(b^2-4ac))/(2a)# .

We get

#0# ,#" "# #(3+sqrt33)/4# ,#" "# and#" "# #(3-sqrt33)/4#

All of these solutions are in the domain of