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April 18, 2015

April 18, 2015

Posted by **lori** on Monday, November 15, 2010 at 8:58pm.

f(x)=x^5-x^4+x^3-x^2+x-1

- college algebra -
**Reiny**, Monday, November 15, 2010 at 9:51pmit says there should be 5 roots.

f(1) = 1-1+1-1+1-1 = 0

so (x-1) is a factor

by synthetic division I had

(x-1)(x^4 + x^2 + 1)

x^2 = (-1 ± √-3)/2 = (-1 ± i√3)/2

now take √ of that again.

So we get one real root of x=1 and 4 imaginary roots.

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