Let's say there's a polynomial $p(x)$. And let's also suppose you try a value $t$ for $x$ and find that $x - t$ is a factor (using the factor theorem).
So now comes my question: Is there a better/faster way to find the other factor other than long division? I could divide $x - t$ from $p(x)$ and find the other factor and so on, but it becomes quite tedious as the degree of the polynomial you are dealing with increases.
Thanks