If \((x \pm h)\) is a factor of a polynomial, then the remainder will be zero. Conversely, if the remainder is zero, then \((x \pm h)\) is a factor. Often, factorising a polynomial requires some ...
The previous method works perfectly well but only finds the remainder. To find the quotient as well, use synthetic division ... x + 2)\) could be a repeated factor. In this case, though, we ...