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Every course is organized by the official College Board unit numbering. Lessons ship with a short summary, a diagram where it helps, flashcards, curated links, and a worked example you can run free and instantly.

Polynomial, rational, exponential, logarithmic, and trigonometric functions.

AP Precalculus · Unit 1: Polynomial & Rational Functions

Quadratics

Factoring, quadratic formula, completing the square, vertex form.

Factor first. If it won't factor cleanly, use the quadratic formula.
Vertex form y = a $(x - h)^{2}$ + k tells you the vertex (h, k) at a glance.
Discriminant $b^{2}$ - 4ac: positive = 2 real roots, 0 = 1 repeated, negative = complex.

Worked example

Solve

2 x^{2}

- 5x - 3 = 0