SOLUTION: find all zeros of the following polynomial write the polynomial in factored form f(x) = 7x^3-x^2+7x-1

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Question 627661: find all zeros of the following polynomial write the polynomial in factored form
f(x) = 7x^3-x^2+7x-1
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find all zeros of the following polynomial write the polynomial in factored form
f(x) = 7x^3-x^2+7x-1
factor by grouping
f(x) =x^2(7x-1)+(7x-1)
f(x) = (7x-1)(x^2+1)=0
7x-1=0
x=1/7
or
x^2+1=0
x^2=-1
x=±√-1=±
zeros: 1/7 and two non-real zeros, ±i