Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Elementary Algebra
Topic: Exponents and Polynomials
Subtopic: Polynomial Operations V - Divide & Long Divide

Overview

Concluding our work with polynomials, in this lesson we focus on division of polynomials including the long division. This will lead nicely into a topic in Intermediate Algebra involving rational (fractional) expressions.

Objectives

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

• 6.7.1 Divide a monomial by a monomial carefully cancelling like factors
• 6.7.2 Divide a polynomial by a monomial via two methods:
(1) factoring common factors from the numerator and reducing the fractional expression, or
(2) splitting the fractional expression into a sum of smaller fractions and reducing each one separately
• 6.7.3 Long divide a binomial (or larger polynomial) into a trinomial (or larger polynomial)

Terminology

Terms you should be able to define: reducing a fractional expression, long division of polynomials

Text Notes

SKIP "synthetic division". It is not covered in this level course.