Arithmetic with polynomials
There is an analogy between polynomials
and the way we write integers in base 10.
For example, the integer 253
is like the polynomial 2x2 + 5x + 3
(especially if you evaluate it when x = 10).
When you add integers,
you can arrange the digits in columns and add the columns;
when you add polynomials,
you can arrange the terms in columns and add the columns.
When you multiply integers,
you need to multiply each digit in one integer by each digit in the other;
when you multiply polynomials,
you need to multiply each term in one polynomial by each term in the other.
(In some ways, arithmetic with polynomials is easier to understand,
since there is no carrying.)
Go back to the course homepage.
This web page was written between 2012 and 2016 by Toby Bartels,
last edited on 2016 July 13.
Toby reserves no legal rights to it.
The permanent URI of this web page