posted by lori on .
What is the fundamental theorem of algebra of this polynomial in completed factored form? and how do I graph it?
it 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.