The Intro to Quadratic page focuses
on solving quadratic equations by finding two numbers if you know their sum and
product. It goes into considerable detail about the difference of two
squares, and how this knowledge helps you. There's even a javascript
calculator that automates the procedure taught on this page.
The FOIL page explains FOIL, which means First, Outer, Inner, Last.
The Polynomial Remainder Theorem
says:
If f(x) is a polynomial, then the remainder obtained by dividing f(x) by x-r
equals f(r)
In other words, x-r is a factor of f(x)-f(r)
One of the special results of this theorem is this: if the coefficients of a
polynomial add up to zero, then the polynomial is divisible by (x-1).
Related pages in this website
Synthetic Division