LESSON NOTES MENU
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
 
Course: College Algebra
Topic: Polynomial and Rational Functions
Subtopic: Polynomial Functions I - Introduction, Zeros

Overview

Welcome to the study of polynomial functions and their graphs! The theorems and processes included in this topic will enable us to factor, solve, and graph large polynomials. For each new theorem, practice using just that single process, but keep in mind the big picture. Our eventual goal is to pull all the separate theorems together in one big multi-step problem such as completely algebraically without the aid of a calculator factor and graph a polynomial like f(x) = 4x^5 + 12x^4 - 41x^3 - 99x^2 + 10x + 24.

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: polynomial function, degree, leading term, leading coefficient, zeros, roots, end behaviour, multiplicity, turning points

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topics:
"Determining the Characteristics of Polynomial Functions"
"Finding the Zeros of Polynomial Functions"