Techniques for Multiplying PolynomialsA series of free Basic Algebra Lessons from Brightstorm online Algebra series.
Multiplying Monomials and/or Binomials and FOIL We multiply monomials and binomials using different methods, including the distributive property and FOIL. FOIL is a mnemonic device to remember how to find the product of two binomials: we multiply the First, Outer, Inner, and then Last terms in each binomial. When multiplying monomials and binomials, it is important to remember the rules of multiplying exponents.
Multiplying Polynomials using Area Models Polynomials can be trickier than binomials when we multiply. Without FOIL, when multiplying polynomials we use different methods such as area models. Multiplying polynomials will be encountered often in Algebra II when solving equations. In order to understand multiplying polynomials, one must first understand multiplying monomials and binomials, and know the rules of multiplying exponents.
Multiplying Larger Degree Polynomials using Distributing There are different methods for multiplying polynomials. One method is to use an area model, but another way to multiply polynomials without having to draw diagrams, is to multiply polynomials using distribution. In order to understand multiplying polynomials using distribution, we need knowledge of multiplying monomials and binomials and to know the rules of multiplying exponents.
Multiplying Polynomials: Special Cases When multiplying binomials and working with polynomials, sometimes we come up with polynomial special products. Examples of a special polynomial products includeperfect square trinomials (a^2 + 2ab + b^2) and polynomials where the inner and outer terms are additive inverses and cancel each other out (a^2 - b^2). Knowing these types of special product patterns help us easily solve polynomial problems.
Custom Search
We welcome your feedback, comments and questions about this site - please submit your feedback via our Feedback page. © Copyright 2005, 2009, 2010 - onlinemathlearning.com Embedded content, if any, are copyrights of their respective owners.
|
Custom Search