SOLUTION: If 1 is a zero of the polynomial p(X) =ax3-3(a-1)x-1.then find the value of a.

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Question 880374: If 1 is a zero of the polynomial p(X) =ax3-3(a-1)x-1.then find the value of a.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
If x=1 is a zero of the polynomial p%281%29=0 ,
and if p%28x%29+=ax%5E3-3%28a-1%29x-1 , then
a%2A1%5E3-3%28a-1%29%2A1-1=0
a%2A1-3%28a-1%29-1=0
a-3a%2B3-1=0
-2a%2B2=0
2=2a
2%2F2=a
highlight%28a=1%29