Chapter 2 Polynomial (Important Formula- Alpha and Beta)# Most important# Basic Concepts (a+b)2

Описание: Here are some key polynomial formulas:

Basic Formulas:
1. *Quadratic Formula*: x = (-b ± √(b² - 4ac)) / 2a (for ax² + bx + c = 0)
2. *Factorization*: (a + b)² = a² + 2ab + b², (a - b)² = a² - 2ab + b²
3. *Difference of Squares*: a² - b² = (a + b)(a - b)

Polynomial Identities:
1. *(a + b)³*: a³ + 3a²b + 3ab² + b³
2. *(a - b)³*: a³ - 3a²b + 3ab² - b³
3. *a³ + b³*: (a + b)(a² - ab + b²)
4. *a³ - b³*: (a - b)(a² + ab + b²)

Other Formulas:
1. *Sum of Roots*: -b/a (for ax² + bx + c = 0)
2. *Product of Roots*: c/a (for ax² + bx + c = 0)

These formulas are essential for solving polynomial equations, factorizing expressions, and manipulating algebraic expressions.