Chapter 3:  Polynomial Functions

Section 3.1:  Graphs of Polynomials

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

* Review for Section 3.1

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

* Review for Section 3.2

Objective: How to perform polynomial long division

Section 3.3:  Real Zeros of Polynomials

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

* Review for Section 3.3

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

Section 3.4:  Complex Zeros and The Fundamental Theorem of Algebra

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

* Review for Section 3.4

Objective: Review of Complex Numbers

Objective: The powers of i

Objective: Complex Conjugates