Sidebar Menu
 Home
 Intermediate Algebra
 Dividing Fractions
 THE SIXTYNINTH ANNUAL WILLIAM LOWELL PUTNAM EXAMINATION
 Graphs and Functions
 Functions, Equations, and Inequalities
 Summary for Midterm One  Math 1
 Introductory Algebra II Lecture
 Quadratic Functions
 Mathematics Transition Guide
 Exploring Quadratic Graphs
 MATH 237 LINEAR ALGEBRA
 Intermediate Algebra
 Negative Exponents and Scientific Notation
 Description of Mathematics
 Intermediate Algebra
 THE QUADRATIC FORMULA
 Programming Exercises
 MATH 1175 COURSE REVIEW #1
 Matrix algebra with R
 THE SIXTYNINTH ANNUAL WILLIAM LOWELL PUTNAM EXAMINATION
 Math 111 Final Exam Review
 Topics to Math Study for Test 2
 Fitting a Quadratic Function to Data
 Factoring Trinomials of the Form ax^2+bx+c
 GIFTED MATH PROGRAM
 GIFTED MATH PROGRAM
 EXPONENTS AND POLYNOMIALS
 Quadratic Equations
 Math Problem Set
 Number Theory Homework 4 Solution
 Intermediate Algebra Course Syllabus
 Linear Functions, Equations, and Inequalities
 THE QUADRATIC FORMULA
 Measures of Disease Frequency
 Worksheet on rational exponents
 SYLLABUS FOR ALGEBRA II
 Elementary Algebra
 Descriptions of Mathematics
 Functions and Difference Quotients Review
 Grades 9, 10, and Exit Level Mathematics Chart
 Early Greeks & Aristotle
 Review Sheet for Math 225,Section M1 Final Exam
 Introductory Mathematics Concept Guide
 Sample Exam 3 problems solved
 INTERMEDIATE ALGEBRA
 Probability and Expected Value
 Quadratic Formula
 The General, Linear Equation
 Problems on Adding and Subtracting Fractions
 The California Mathematics Content Standards
 Course Outline for College Algebra
 PRECALCULUS I
 Combinations of Functions
 LinearEquations
 Course Syllabus for Basic Concepts of Mathematics
 Math 106  College Algebra
 Intermediate Algebra
 Math Factoring
 A General Factoring Strategy
 Accuplacer Assessment Test of Math
 Math 103 Problem Set #2 Solution
 SYLLABUS FOR COLLEGE ALGEBRA
 common denominator
 EE363 homework
 College Algebra
 Elementary Algebra
 Finite Mathematics for the Life and Social Science
 BASIC CONCEPTS OF MATHEMATICS
 Dividing Fractions
 Factoring Trinomials Whose Leading Coefficient is One
 That's the way the Ball Bounce
 Syllabus for Finite Mathematics
 Basic Math II Course Design
 RECURRENCES AND GENERATING FUNCT
 Math 104A Homework #5
 DETAILED SOLUTIONS AND CONCEPTS QUADRATIC EQUATIONS
 Topics in Computer Mathematics  Number Systems
 BASIC SKILLS ASSESSMENT: Reading Skills, Writing Skills, Quantitative Analysis (Math) Skills
 Prealgebra Syllabus
 Geometry  Set In Stone
 Solution of the Equations
 Using Matlab as a Research Tool
 Enumerations, Classes and Multiplefile Programs
 SYLLABUS FOR PRECALCULUS MATH
 Geometry Problems
 Equilibrium Values and their Stability for FirstOrder NonLinear DDS
 Systems of Linear Equations
 MATHEMATICS PROGRAM LEARNING OUTCOMES
 Syllabus for Linear Algebra
 INTRODUCTION TO MATLAB
 Factoring_Trinomials38
 Math Projects
 Math Homework 1 Solutions
 Cockroach Slope
 Intermediate Algebra Syllabus
 MATH 1105 College Algebra
 Description of Mathematics
 SYSTEMS OF LINEAR EQUATIONS  TI 83 METHOD
 MATH 317 MIDTERM EXAM
 Syllabus for Intermediate Algebra
 Algebraic Concepts

Factoring
• The process of finding polynomials whose
product equals a given polynomial is
called factoring.
• Prime polynomial: A polynomial with
variable terms that cannot be written as a
product of two polynomials of lower
degree.
Factoring Out the Greatest Common Factor
Factoring by Grouping
When a polynomial has more than three terms, it
can sometimes be factored by grouping.
Factoring Trinomials
Factoring trinomials requires using the FOIL
method in reverse.
To factor ax^{2} + bx + c we find integers a_{1}, a_{2}, c_{1},
and c_{2} such that:
where a_{1} and a_{2} are factors of a, and c_{1} and c_{2} are
factors of c.
Perfect Square Trinomials
Factoring Special Binomials
Difference of Squares: x^{2}  y^{2} = (x + y)(x  y)
Sum of Cubes: x^{3} + y^{3} = (x + y)(x^{2}  xy + y^{3})
Difference of Cubes: x^{3} + y^{3} = (x  y)(x^{2} + xy + y^{3})
Check by multiplying.
Check by multiplying.