Introduction to Factoring

Slides:

Advertisements

Similar presentations

GCF and LCM Section 2.3 Standards Addressed: A , A

Advertisements

Begin by writing the prime factorization of each number.

Bellwork 75÷15 21÷7 75÷25 72÷9 85÷5 132÷11 28÷7 144÷12 24÷6 180÷15.

Least Common Multiple (LCM) of

Greatest Common Factor Objective: Finding Greatest Common Factor (GCF) VocabularyThe greatest common factor is the biggest factor that is common to two.

Greatest Common Factors a.k.a. GCF

Greatest Common Factor

EXAMPLE 4 Finding the GCF of Monomials

GREATEST COMMON FACTOR

4-4: (GCF) Greatest Common Factor And 4-3 review of Factoring.

Recall: By the distributive property, we have x ( x + 2 ) = x² + 2x Now we’re given a polynomial expression and we want to perform the “opposite” of the.

Objectives The student will be able to:

 What prime factorization is.  For example the prime factorization of 24 = 2223  Today we will learn how to find the greatest common factor of two.

EXAMPLE 1 Finding the Greatest Common Factor Find the greatest common factor of 56 and 84. SOLUTION STEP 1 Write the prime factorization of each number.

Factoring Polynomials

Lesson 10-1: Factors & Greatest Common Factor (GCF)

Lesson 4-5 Prime Factorization Page 160. Vocabulary words  Composite number-has more than 2 factors.  Example: 24: 1x 24, 2 x 12, 3x8, 4x6  Prime number-

Chapter 8 Factors & The Greatest Common Factor

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.

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.

Notes Over 10.8 BinomialTrinomial4 or more terms Methods of Factoring GCF Difference of Squares Perfect Square Trinomial Two Binomials (Shortcut) Two.

Factoring using GCF interpret parts of an expressions such as terms, factors, and coefficient.

Factoring using GCF interpret parts of an expressions such as terms, factors, and coefficient.

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.

Goal: Find the greatest common factor of two or more numbers.

Factoring Polynomials

Factors Divisibility Lesson 6Power Up BPage 40. Factors ›A whole number that divides evenly into another whole number. ›List the factors of 27. ›1, 3,

Prime Numbers and Factoring. Which expression is equal to 4x6? (a) 2 × 2 x 2 (b) 2 × 3 × 4 (c) 4 × 5 × 3 (d) 6 × 6.

 The greatest common factor is the largest factor that two numbers share.  Factors- The number that are multiplied together in a multiplication problem.

Warm up 1.(12x 2 + 8x – 6) – (9x 2 – 2x + 5) 2.Find the area 3.(x – 5)(-3x 2 + 6x – 8) x + 4 2x – 1.

Defining Success Lesson 14-Finding the Greatest Common Factor Problem Solved!

Math 9 Lesson #34 – Factors and GCF/Factoring with Distributive Property Mrs. Goodman.

§5.4 Part 1 GCF Objectives: - Factor out the GCF of an expression.

8.2: Multiplying and Factoring. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find.

Factoring Trinomials By Grouping Method Factoring 5/17/20121Medina.

Essential Question & Warm Up Essential Question: How do you factor a number? Big Idea: Why is it important to know how to factor a number? Warm Up: NOTHING!!

Lesson 9-1 Factors and Greatest Common Factors. Definitions Prime Number - A whole number, greater than 1, whose only factors are 1 and itself. Composite.

Finding the Greatest Common Factor. The greatest common factor of two or more numbers is the greatest number that is a factor of every number.

Factoring Polynomials ARC INSTRUCTIONAL VIDEO MAT 120 COLLEGE ALGEBRA.

How do you find the Greatest Common Factor(GCF) of two or more numbers? For example, how do you find the Greatest Common Factor of 32 and 60?

Finding Greatest Common Factor

Greatest Common Factor

Section 5-1 Factoring Numbers

Notes Over 10.8 Methods of Factoring Binomial Trinomial

Section 10.8 Factoring Using the Distributive Property

8 Greatest Common Factor

Lesson 10.4B : Factoring out GCMF

Finding the Greatest Common Factor

8 Greatest Common Factor

Finding the Greatest Common Factor

Reverse Distribution and Grouping

Factoring Polynomials.

Greatest Common Factor

Lesson 7-2 Factoring by GCF part 1

COURSE 3 LESSON 4-1 Factors

Factoring the GCF from Polynomials

Find the greatest common factor of two or more numbers

Day 136 – Common Factors.

Greatest Common Factor

factoring polynomials

Finding the Greatest Common Factor (GCF)

Greatest Common Factor

Factoring Polynomials

COURSE 3 LESSON 4-1 Factors

Greatest Common Factor

Writing Sums AS PRODUCTS & PRODUCTS as Sums

Finding the LCM and the GCF Using Prime Factorization

Greatest Common Factor GCF

factoring polynomials

Finding the Greatest Common Factor (GCF)

Presentation transcript:

Introduction to Factoring

Find the Greatest Common Factor

Find the Greatest Common Factor Find the GCF of 20 and 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30 The GCF of 20 and 30 is

Find the Greatest Common Factor Find the GCF of 20 and 30 List the factors of 20 List the factors of 30 The GCF of 20 and 30 is

Find the GCF of 90 and 420

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 420 is

Find the GCF of 90 and 420

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is

Find the GCF of 90 and 420 The prime factorization of 90 is The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 90 is The prime factorization of 420 is

Find the GCF of 90 and 420 The prime factorization of 90 is The prime factorization of 420 is The GCF is

Find the GCF of 90 and 420 The prime factorization of 90 is The prime factorization of 420 is The GCF is

Find the GCF of 90 and 420 The prime factorization of 90 is The prime factorization of 420 is The GCF is

Find the GCF of 42 and 77

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 42 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 42 is The prime factorization of 77 is

Find the GCF of 42 and 77 The prime factorization of 42 is The prime factorization of 77 is The GCF is

Find the GCF of 42 and 77 The prime factorization of 42 is The prime factorization of 77 is The GCF is

Find the GCF of 48, 90, and 252

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 48 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 90 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252 The prime factorization of 252 is

Find the GCF of 48, 90, and 252

Find the GCF of 48, 90, and 252 48 =

Find the GCF of 48, 90, and 252 48 = 90 =

Find the GCF of 48, 90, and 252 48 = 90 = 252 =

Find the GCF of 48, 90, and 252 48 = 90 = 252 = The GCF is

Find the GCF of 48, 90, and 252 48 = 90 = 252 = The GCF is

Find the GCF of 48, 90, and 252 48 = 90 = 252 = The GCF is

Find the GCF of 48, 90, and 252 48 = 90 = 252 = The GCF is

Find the GCF of 48, 90, and 252 48 = 90 = 252 = The GCF is

To factor a polynomial is to express it as a product.

To factor a polynomial is to express it as a product. A factor of a polynomial P is a polynomial that can be used to express P as a product.

To factor a polynomial is to express it as a product. A factor of a polynomial P is a polynomial that can be used to express P as a product. A factorization of a polynomial is an expression that names the polynomial as a product.

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Find the GCF and factor

Lesson 5.1 Numbers 1 - 62