Question

Can someone explain the fundamental theorem of algebra?

Answer 1

The fundamental theorem of algebra states that every non-constant single-variable polynomial with complex coefficients has at least one complex root (recall that real coefficients and roots fall within the definition of complex numbers).

Equivalently (by definition), the theorem states that the field of complex numbers is algebraically closed.

Sometimes this theorem is stated as follows: every non-zero single-variable polynomial with complex coefficients has exactly as many complex roots as its degree, if each root is counted up to its multiplicity. Although this at first appears to be a stronger statement, it is a direct consequence of the other form of the theorem, through the use of successive polynomial division by linear factors.

In spite of its name, there is no purely algebraic proof of the theorem, since any proof must use the completeness of the reals (or some other equivalent formulation of completeness), which is not an algebraic concept. Additionally, it is not fundamental for modern algebra; its name was given at a time when the study of algebra was

Answer 2

yeah i saw this on wikipedia but i can i have an example?

Answer 3

check out this website i think it will help http://www.mathsisfun.com/algebra/fundamental-theorem-algebra.html

Answer 4

thank you this is better than want i found!