SOLUTION: Eh...I'm not sure where this one would be catogorized. I'm really sorry! I really need help though, please... Find the zero's of: {{{P(x)=x^3-5x^2+16x-80}}}

Question 143275: Eh...I'm not sure where this one would be catogorized. I'm really sorry! I really need help though, please...
Find the zero's of:

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given function

Plug in

Group like terms

Factor out the GCF out of the first group. Factor out the GCF out of the second group

Since we have the common term , we can combine like terms

Now set each factor equal to zero:

or

Now solve for x for each factor:

or

or

Take the square root of -16 to get 4i and -4i

, , or

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Answer:
So our answers are

, , or