college algebra
posted by lori on .
What is the fundamental theorem of algebra of this polynomial in completed factored form? and how do I graph it?
f(x)=x^5x^4+x^3x^2+x1

it says there should be 5 roots.
f(1) = 11+11+11 = 0
so (x1) is a factor
by synthetic division I had
(x1)(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.