I need some help understanding the following worked example:
So they have where I = <p(x)>. But what do they mean "by long division we have..."? Did they divide p(x) by ? If so how could they end up with ? Any help is really appreciated.
I need some help understanding the following worked example:
So they have where I = <p(x)>. But what do they mean "by long division we have..."? Did they divide p(x) by ? If so how could they end up with ? Any help is really appreciated.
You know (or should to) that is a root of , and thus you can
(long) divide these two polynomials.
Note that the remainder of this division is , as expected.