Barrons AP Calculus - David Bock

Appendix: Formulas and Theorems for Reference

ALGEBRA

1. QUADRATIC FORMULA. The roots of the quadratic equation
   ax^2 + bx + c = 0 (a ≠ 0)
   are given by


2. BINOMIAL THEOREM. If n is a positive integer, then


3. REMAINDER THEOREM. If the polynomial Q(x) is divided by (x − a) until a constant remainder R is
   obtained, then R = Q(a). In particular, if a is a root of Q(x) = 0, then Q(a) = 0.

GEOMETRY

The sum of the angles of a triangle is equal to a straight angle (180°).
PYTHAGOREAN THEOREM
In a right triangle,
c^2 = a^2 + b^2.
In the following formulas,
A is area B is area of base
S surface area r radius
V volume C circumference
b base l arc length
h height or altitude θ central angle (in radians)
s slant height

4. Triangle:


5. Trapezoid:


6. Parallelogram: A = bh.