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Course: Algebra II / 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

Define: reducing a fractional expression, long division of polynomials

Text Notes

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