Polynomial And Rational Functions Flashcards
Quadratic Functions

Graphing f(x) = ax2 + bx + c by Completing the Square

Vertex Formula

Division of Polynomials

Complex Polynomial Functions

The Fundamental Theorem of Algebra

The Linear Factorization Theorem

Zeroes of Multiplicity

Corollary I: Irreducible Quadratic Factors

Corollary II: Complex Conjugates

Corollary III: Number of Zeroes

The Intermediate Value Theorem

The Rational Zeroes Theorem

Tests to Determine If 1 or −1 is a Zero of P

Descartes’ Rule of Signs

Upper and Lower Bounds Property

Polynomial Graphs and Turning Points

The End Behavior of a Polynomial Graph

Polynomial Graphs and Zeroes of Multiplicity

Guidelines for Graphing Polynomial Functions

Rational Functions

Horizontal Asymptotes

Vertical Asymptotes

Vertical Asymptotes of a Rational Function







