4. Equations - Theorem of Vieta

Topic: Theorem of Vieta

What you should know:
1. Quadratic Equations.
2. Solution of Quadratic Equation.
3. Factorizing integer numbers in product of two integers.

What you will learn:
1. Guessing Solutions of Quadratic Equations
2. Factorizing Quadratic Equation into product of linear factors.

[shreyasreddysama]

You also need to give higher power examples, how the sign changes for odd power polynomials, and how there are ways to take two sums at a time or more for higher power polynomials. If anyone is interested, look it up on Wikipedia or AOPS.

[holyshit]

It works when you have all roots of polynomial (even complex)
If you have only real roots it may not works
Degree does not matter

[shreyasreddysama]

It is actually a formula; sorry for being nitpicky.