  A Precalculus Outline

 Chapter 3:  Polynomial Functions Objective: Identifying the degree and leading coefficient of a polynomial function Objective: Identifying the end behavior of graphs of polynomial functions Objective: Understanding and using the Intermediate Value Theorem Objective: Graphing a polynomial in factored form using end behavior and multiplicities of its zeros Objective: Identifying terms, coefficients, and exponents in a polynomial Objective: Finding domain of a function graphically Objective: Finding range of a function graphically Objective: Zero of a function > Objective: Finding a relative maximum of a function graphically Objective: Finding a relative minimum of a function graphically Objective: Finding a local maximum of a function graphically Objective: Finding a local minimum of a function graphically Objective: Finding the maximum of a function graphically Objective: Finding the absolute maximum of a function graphically Section 3.2:  The Factor Theorem and The Remainder Theorem Objective: How to perform synthetic division Objective: Using the Remainder Theorem Objective: Using the Factor Theorem Objective: How to perform polynomial long division Objective: Using Descartes Rules of Signs to determine the possible number of positive and negative real zeros of a polynomial function Objective: Using the Rational Zeros Theorem and Synthetic Division to find real zeros of a polynomial function Objective: Solving polynomial inequalities Objective: Synthetic division Objective: Factor Theorem Objective: Remainder Theorem Objective: Zero Objective: Multiplicity Objective: Cost function Objective: Demand function Objective: Price-demand function Objective: Revenue function Objective: Profit function Objective: Finding all complex zeros of a polynomial function Objective: Using the conjugate pairs theorem to find the zeros of a polynomial function Objective: Understanding the Fundamental Theorem of Algebra Objective: Forming a polynomial given its zeros Objective: Review of Complex Numbers Objective: The powers of i Objective: Complex Conjugates