SOLUTION: How many positive real solutions are there in: f(x)=x^4-4x^3+6x^2-4x+1 a)1 or 0 b)2 or 0 c)4 or 2 d)2 or 0

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Question 146280: How many positive real solutions are there in:
f(x)=x^4-4x^3+6x^2-4x+1
a)1 or 0
b)2 or 0
c)4 or 2
d)2 or 0

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

First count the sign changes of

From to , there is a sign change from positive to negative

From to , there is a sign change from negative to positive

From to , there is a sign change from positive to negative

From to , there is a sign change from negative to positive

So there are 4 sign changes for the expression .

So there are 4, 2, or 0 positive zeros

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