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## Homework Statement

Looking to factor ##-2x^3-3## and having an issue. To my understanding, the Fundamental Theorem of Algebra tells us that it is at least theoretically possible to factor any polynomial of degree n.

## Homework Equations

## The Attempt at a Solution

So my first step to factor this was to use the Rational Zeros Theorem, and synthetically divide ##-2x^3-3## by these possible rational zeros. After multiple attempts, no possible rational zeros were found to correspond to any factors of ##-2x^3-3##. So this tells me that we either have real but irrational zeros, or non-real zeros.

Where can I go from here to factor this thing out in knowing this?