Polynomial division is sometimes required to factor them, and cut them up into chunks that we humans can better understand.

Here's how the process of synthetic division works, step-by-step. Divide \(3{x^3} - 4x + 5\) by \((x + 2)\) and state the quotient and remainder. First, make sure the polynomial is listed in order ...

To find the quotient as well, use synthetic division as follows ... However \((x + 2)\) could be a repeated factor. In this case, though, we can rule out \((x + 2)\) as well.