Algebra
Quadratic Formula
Solve any quadratic equation using the discriminant
AM–GM Inequality
The arithmetic mean is always at least as large as the geometric mean
Cauchy–Schwarz Inequality
The inner product of two vectors is bounded by the product of their norms
Binomial Theorem
Expanding powers of a sum via binomial coefficients
Geometric Series
Partial sums and convergence of the geometric progression
Vieta's Formulas
Relating the coefficients of a polynomial to the sums and products of its roots