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

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.

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 ...