Question

According to the fundamental theorem of algebra, how many zeros does the polynomial below have?
f(x)=x^3+2x^2-6x-9

Answer 1

At most the roots will be equal to the degree

Answer 2

Let me clarify zeros and roots are the same thing. At most the number of roots/zeros will be the same as the degree of the polynomial.

Answer 3

so if the degree is 3 then it has 3 zeros?

Answer 4

A most 3, but it could be 2, 1, or 0.

Answer 5

oh gosh. that made this more complicated:(

Answer 6

The Fundamental Theorem of Algebra (FTA) states

Every polynomial equation of degree n with complex coefficients has n roots in the complex numbers.

http://www-history.mcs.st-and.ac.uk/HistTopics/Fund_theorem_of_algebra.html