Answer
True.
Work Step by Step
It is the result of the Fundamental Theorem of Algebra and the Factor Theorem, hence it is true.
The fundamental theorem of algebra says that every non-constant single-variable polynomial with complex coefficients has at least a complex root.
The factor theorem says that if $f(c)=0$, then $(x-c)$ is a factor of $f(x)$ and vice versa.