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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
S = contains supplemental resources
Course: Algebra II / Elementary Algebra
Topic: Exponents and Polynomials
Subtopic: Polynomial Operations I - Simplify, Add, & Subtract

Overview

Polynomials are algebraic expressions that (usually) contain several terms such as x5-2x4+5x3+6x-9. Remember when you were in elementary school and you were just learning about numbers? You learned to add and subtract, later multiply, and then the dreaded long divide. Well, that is what we are going to do here except we will be performing these operations with polynomial expressions not plain numbers. So put your algebra hats on and get your pencils warmed up, because we are going to embark on a "polynomic" adventure!

Objectives

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

Terminology

Define: coefficient, variable, exponent, term, polynomial, single-variable vs. multi-variable polynomial, opposite, opposite of a polynomial, degree of a term, degree of a polynomial, standard descending order (SDO)

Text Notes

Although your textbook may stick to single variable polynomials at this point, we will begin to discuss multi-variable polynomials in class now.