SOLUTION: Find all the zeros of each equation. x^3 � x^2 + 5x � 5 = 0 Can you help I can't quite seem to figure this out.

Question 672200: Find all the zeros of each equation.
x^3 � x^2 + 5x � 5 = 0
Can you help I can't quite seem to figure this out.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find all the zeros of each equation.
x^3 � x^2 + 5x � 5 = 0
when you have more than 3 terms, try factoring by grouping:
x^3 � x^2 + 5x � 5 = 0
x^2(x-1)+5(x�1) = 0
(x-1)(x^2+5)=0
x-1=0
x=1
or
x^2+5=0
x^2=-5
x=�√-5=�√5 i
zeros: 1, -√5 i, √5 i (one real root and a pair of non-real roots)
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