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.

Slides:



Advertisements
Similar presentations
Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.
Advertisements

Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials. SOL:
Section 5.1 Prime Factorization and Greatest Common Factor.
Extracting Factors from Polynomials
8.1 Monomials and Factoring Objective Students will be able to: 1. find the prime factorization of a monomial. 2. find the greatest common factor (GCF)
Definition of a Prime Number
GCF & LCM - Monomials.
Multiplying a binomial by a monomial uses the Distribute property Distribute the 5.
© 2007 by S - Squared, Inc. All Rights Reserved.
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
GREATEST COMMON FACTOR
5.1 The Greatest Common Factor; Factoring by Grouping
Unit 9 – Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
4.3 Greatest Common Factors (GCF)
Do Now: Evaluate Multiplying Monomials Objectives SWBAT: 1) multiply monomials 2) Simplify expressions involving powers 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.
Chapter 5 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Factoring.
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.
Objectives The student will be able to:
Multiplying and Factoring Module VII, Lesson 2 Online Algebra
Dividing and Reducing Monomials
GCF What does it stand for? What is it?. What do these have in common??
Bell Ringer Find the GCF and LCM 180x 4 y and 168x 2 y 5.
Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials. SOL:
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Greatest Common Factors; Factoring by Grouping.
CA STANDARDS 11.0: Students find a common factor to all of the terms in a polynomial. Agenda 1.)Lesson On Factoring Polynomials 2.)Assignment Learning.
Simple Factoring Objective: Find the greatest common factor in and factor polynomials.
Math – Greatest Common Factor; Factoring by Grouping 1.
Multiplying Polynomials.  To multiply exponential forms that have the same base, we can add the exponents and keep the same base.
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 using GCF Algebra I. Definitions Prime number – is a whole number whose only factors are itself and one (a number can’t be factored any more)
GCF. Warm – Up!!  Good Morning! As you walk in, pick up your calculator and Unit 6 Guided Notes from the podium.  Name 3 prime numbers.  What are the.
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 =
SOLUTION EXAMPLE 2 Find the greatest common monomial factor Factor out the greatest common monomial factor. a. 12x + 42y a.a. The GCF of 12 and 42 is 6.
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.
Greatest Common Factor and Least Common Multiples GCF and LCM.
Copyright © 2016, 2012, 2008 Pearson Education, Inc. 1 Factoring out the Greatest Common Factor.
Exponents and Monomials. Monomial is an expression that is a number, a variable, or a product of a number and variables. Constant is a monomial containing.
Monomials Chapter 5.1. Vocabulary Monomial: an expression that is a number, a variable, or the product of a number and one or more variables. – Can not.
Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Sec Greatest Common Factors; Factoring by Grouping.
Topic: Factoring MI: Finding GCF (Greatest Common Factor)
8-5 Factoring Using the distributive property
Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x
Module 1 Day 3 Power Properties.
Distributive Property Multiply and Divide polynomials by a constant worksheet.
Polynomial Operations
Finding GCF SOL A.2c.
Greatest Common Factor
8.5 Using the Distributive Property
Lesson 10.4B : Factoring out GCMF
Common Monomial Factors
6. 7 Dividing a Polynomial by a Monomial 6
Bell Ringer #4 (2-5-16) Try and define these terms or say what they mean: 1. distribute 2. factor 3. constant 4. coefficient 5. variable.
Objectives The student will be able to:
The Greatest Common Factor and Factoring by Grouping
Objectives The student will be able to:
Greatest Common Factor
Equivalent Expressions
2.7 The Distributive Property
Objectives The student will be able to:
Objectives The student will be able to:
Finding GCF SOL A.2c.
Section 4.3 Prime Factorization and Greatest Common Divisor
Warm Up Tell whether the number is prime or composite. If it is composite, write its prime factorization using exponents Factor the monomial
7-2 Multiplying powers with the same base.
Warm-up Find the GCF for the following: 36, 63, 27 6x2, 24x
Bell Ringer #4 (2-5-16) Try and define these terms or say what they mean: 1. distribute 2. factor 3. constant 4. coefficient 5. variable.
Presentation transcript:

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 GCF of integers and monomials and 2) factor using the distributive property

Greatest Common Factor: is the largest positive integer that divides the numbers without a remainder Example 1: Find the greatest common factor of 18 and 24. Example 2: Find the greatest common factor 20 and 35.

Example 2: To Find the GCF of Monomials : 1)Find the GCF of the coefficients 2)Find the GCF of the variables -Only variables in common (use the lowest exponent)

Example 3: Find the greatest common factor.

Try these.