SOLUTION: Needing help to verify the steps of finding the zeros of the following polynomial function f(x)= 3x^3+7x^2-7x-3

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Question 768861: Needing help to verify the steps of finding the zeros of the following polynomial function f(x)= 3x^3+7x^2-7x-3
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
function f(x)= 3x^3+7x^2-7x-3
It has one evident zero: x = 1 (because sum of the coefficients is 0)
f(x) / (x-1) = 3x^2+10x+3
Then f(x) = (x-1)(3x^2+10x+3)
zeros of: 3x^2+10x+3 are:
-1/3 and -3
Answer : zeros of f(x) are: 1,-1/3 and -3
You can ask me more at: mthman@gmail.com
Thanks