2.2 – Factoring Polynomials Common Factoring. Whenever we are asked to factor the first thing that we should do is look for common factors. The Greatest.

Slides:



Advertisements
Similar presentations
Section 5.1 Prime Factorization and Greatest Common Factor.
Advertisements

GCF & LCM - Monomials Monomials include VARIABLES!! For example: 36xy 2.
GCF & LCM - Monomials.
EOC Practice #11 SPI
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
MTH 091 Section 11.1 The Greatest Common Factor; Factor By Grouping.
9.1 Factors and Greatest Common Factors What you’ll learn: 1.To find prime factorizations of integers and monomials. 2.To find the greatest common factors.
Lesson 4-3. Math Vocabulary GCF (Greatest Common Factor): The highest number that can divide INTO two or more given numbers.
GREATEST COMMON FACTOR
The Greatest Common Factor and Factoring by Grouping
EXAMPLE 4 Finding the GCF of Monomials
Objectives The student will be able to: 7A: Find the prime factorization of a number, the greatest common factor (GCF) for a set of monomials and polynomials.
Prime Factor and GCF. Vocab Prime number - # > 1 whose factors are only 1 and itself Composite number - # > 1 that has more than 2 factors Prime factorization.
Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Section 6.1 Removing a Common Factor.
 Millhouse squared the numbers 2 and 3, and then added 1 to get a sum of 14. ◦ = 14  Lisa squared the numbers 5 and 6, and then added 1.
Factors
5-4 Factoring Quadratic Expressions Objectives: Factor a difference of squares. Factor quadratics in the form Factor out the GCF. Factor quadratics with.
Do Now Find the GCF of each set of numbers. 1)34, 51 2)36, 72 3)21, 42, 56.
Greatest Common Factor The Greatest Common Factor is the largest number that will divide into a group of numbers Examples: 1.6, , 55 GCF = 3 GCF.
Jeopardy $100 GCFD2PSX Diagram Factor Completely $200 $300 $400 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 $500 $400 $300 $200 $100 Final Jeopardy.
FACTORING. Factoring a Monomial From a Trinomial.
GCF What does it stand for? What is it?. What do these have in common??
Section 8 – 2 Multiplying & Factoring
Factoring Polynomials: Part 1
Factoring by Common Factor Factorise the polynomial: 3x 3 y 5 + 9x 2 y x y 7 Determine the GCF of the terms  GCF of 3, 9, and 12 is 3  The smallest.
Factoring A Quadratic Expression Feb. 25, SWBAT Factor a Quadratic Expression WARM – UP 6x 6 – 4x 2 + 2x 12x 2 y + 24xy 2 – 28xy.
Simple Factoring Objective: Find the greatest common factor in and factor polynomials.
3.2 Factoring Linear Expression. GCF Also known as: The Greatest Common Factor Also known as: The largest number that can be divided into all.
Math – Greatest Common Factor; Factoring by Grouping 1.
Greatest Common Factor Lesson 3-3. Greatest Common Factor (GCF) The greatest common factor is the largest factor that two numbers share. Let’s find the.
Greatest Common Factor and Factoring by Grouping List all possible factors for a given number. 2.Find the greatest common factor of a set of numbers.
Factoring Polynomials: Part 1 GREATEST COMMON FACTOR (GCF) is the product of all prime factors that are shared by all terms and the smallest exponent of.
Factors When two numbers are multiplied, each number is called a factor of the product. List the factors of 18: 18:1, 2, 3, 6, 9, 18 * Calculators: Y =
Table of Contents Factoring – Greatest Common Factor When factoring out the greatest common factor (GCF), determine the common factor by looking at the.
Factoring – Common Binomial Factor When factoring out the greatest common factor (GCF), sometimes there is a common binomial factor. In the following expression.
Factoring – Greatest Common Factor When factoring out the greatest common factor (GCF), determine the common factor by looking at the following: 1.Numerical.
Defining Success Lesson 14-Finding the Greatest Common Factor Problem Solved!
DO NOW 11/12/14 Homework in the basket please Multiply the following polynomials 1. (3x + 1)(3x – 1) 1. (2z – 7)(z + 4) 1. (4a + 2)(6a2 – a + 2) 1. (7r.
Section 6.1 Factoring Polynomials; Greatest Common Factor Factor By Grouping.
Factors are numbers you can multiply together to get another number Example: 2 and 3 are factors of 6, because 2 × 3 = 6 Objectives: SWBAT 1) find the.
Greatest Common Factor and Least Common Multiples GCF and LCM.
Martin-Gay, Beginning Algebra, 5ed Find the GCF of each list of numbers. 1)6, 8 and 46 6 = 2 · 3 8 = 2 · 2 · 2 46 = 2 · 23 Example:
Least Common Multiples
Topic #3: GCF and LCM What is the difference between a factor and a multiple? List all of the factors and the first 3 multiples of 6.
8.2: Multiplying and Factoring. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find.
Topic: Factoring MI: Finding GCF (Greatest Common Factor)
Factors
Warm-up Given the functions, perform the following operations:
8-5 Factoring Using the distributive property
Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x
Finding GCF (Greatest Common Factor)
Introduction to Factoring
Copyright 2013, 2010, 2007, 2005, Pearson, Education, Inc.
Lesson 10.4B : Factoring out GCMF
Factoring out the GCF.
7.5 Factoring Linear Expression
Factoring.
Factoring Quadratic Expressions
Factoring Quadratic Equations
Factoring GCF and Trinomials.
Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
Objective Factor polynomials by using the greatest common factor.
Objectives The student will be able to:
5.6 More on Polynomials To write polynomials in descending order..
Factor A factor of an integer is any integer that divides the given integer with no remainder.
Factoring – Greatest Common Factor (GCF)
Factoring Polynomials
Do Now 2/7/19 Take out your HW from last night.
Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x
Presentation transcript:

2.2 – Factoring Polynomials Common Factoring

Whenever we are asked to factor the first thing that we should do is look for common factors. The Greatest Common Factor (GCF) is The largest number that you can divide every term by with no remainder. The smallest exponent of any variables common to all terms.

Example #1: Factor each expression. a) b) c) The GCF is 9x The GCF is 6 The GCF is 5xy 2

Sometimes the ones that look tricky are the easiest! Example #2: Factor:

Example #3: The area of a rectangular pool is represented by the expression. IF the length is 6x, find an expression for the width of the pool. Area = length x width = = ( ) The length of the pool is x+3.

Homework: P AGE 96 #2, 3, 6 – 9, 11 – 15