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 ... Now add the product you have just calculated (in our example \(- 6\)) to the coefficient above it, (\(0\)).

The previous method works perfectly well but only finds the remainder. To find the quotient as well, use synthetic division as follows. Now you need to factorise the second bracket. There's no ...