by stupidityismygam » Fri Apr 04, 2008 12:47 am
Vieta is our friend.
First, by Vieta we see that the sum of the roots is zero, so [unparseable or potentially dangerous latex formula] Similarly [unparseable or potentially dangerous latex formula]
Then, [unparseable or potentially dangerous latex formula]
Now we consider the nifty (yes brad, nifty) factorization [unparseable or potentially dangerous latex formula]
Since [unparseable or potentially dangerous latex formula] we see that [unparseable or potentially dangerous latex formula] By Vieta, [unparseable or potentially dangerous latex formula]
So, [unparseable or potentially dangerous latex formula]
(As an alternative to that factorization you could add the following and note that [unparseable or potentially dangerous latex formula])
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
[unparseable or potentially dangerous latex formula]
my avatar is pretty awesome
tytia