- #1

mindauggas

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## Homework Statement

Assuming the validity of the fundamental theorem of algebra, prove the corollary that:

Every polynomial of positive degree n has a factorization of the form:

[itex]P(x)=a_{n}(x-r_{1})...(x-r_{n})[/itex] where [itex]r_{i}[/itex] aren't necessarily distinct.

## Homework Equations

Fundamental Theorem of Algebra: Every polynomial of positive degree with complex coefficients has at least one complex zero.

## The Attempt at a Solution

Does this even require proof? Don't know where to begin...