formulas
Foundational Formulas Across College Prep 1. College Algebra / Pre-Calculus Quadratic Formula : x = − b ± b 2 − 4 a c 2 a x = \frac{-b ± \sqrt{b^2 - 4ac}}{2a} x = 2 a − b ± b 2 − 4 a c Discriminant : D = b 2 − 4 a c D = b^2 - 4ac D = b 2 − 4 a c (determines root types) Polynomial Identities : ( a + b ) 2 = a 2 + 2 a b + b 2 (a+b)^2 = a^2 + 2ab + b^2 ( a + b ) 2 = a 2 + 2 ab + b 2 , ( a − b ) 2 (a-b)^2 ( a − b ) 2 , a 2 − b 2 a^2 - b^2 a 2 − b 2 , etc. Exponential/Logarithmic Basics & Properties for simplifying expressions. These are the algebraic fundamentals that act as building blocks for calculus, statistics, and quantitative reasoning. CollegeVine +4 The Princeton Review +4 Reddit +4 2. ACT / Entry-Level Math Sequence formulas : Arithmetic: a n = a 1 + ( n − 1 ) d a_n = a_1 + (n - 1)d a n = a 1 + ( n − 1 ) d Geometric: a n = a 1 ⋅ r ( n − 1 ) a_n = a_1 \cdot r^{(n-1)} a n = a 1 ⋅ r ( n − 1 ) Coordinate Geometry : slope y 2 − ...