SOLUTION: find all the REAL zeros of the function x^4-4x^3+4x-1

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Question 427338: find all the REAL zeros of the function x^4-4x^3+4x-1
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
x^4-4x^3+4x-1 = 0 |If x=1 then 1-4+4-1 = 0 (x-1) a factor
dividing the above by (x-1)
x^3 - 3x^2 - 3x + 1 |If x= -1 then -1-3+3+1 = 0 (x+1) a factor
dividing the above by (x+1)
x^2 - 4x + 1




all the REAL zeros of the function:
{-3.7321,-1, -.2679, 1 }

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