Question

According to the fundamental theorem of algebra, how many zeros does the polynomial below have?
f(x)=x^5-12x^3+7x-5

Answer 1

What does the Fundamental Theorem of Algebra state?

Answer 2

In mathematics, the fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root

Answer 3

Well, that would be the main part. I suppose I should say, the corollary to it.

The corollary to the theorem states that the polynomial of degree n >0 has n (not necessarily distinct) complex roots

Answer 4

so 5?

Answer 5

Yes.