Hello every .
I hope you are having a great time!
I have presumably found a way to solve
if are the roots to any equation of the form
and is any real or complex number.
Simply put is the coefficient of in or even simpler,
is the leading coefficient of .
Lets have an explicit example where and
Then using Vieta's,
and also the roots of is , and . Meaning the product is
With the basic definition of a polynomial,
for being any real or complex number.
We too also can solve this by take out in each term and then use the generalisation to solve
I really do hope this note helped you in one way or another! Well, that's probably it!