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.

Slides:



Advertisements
Similar presentations
GCF and LCM Section 2.3 Standards Addressed: A , A
Advertisements

Factoring and Expanding Linear Expressions .
Factor out a common binomial EXAMPLE 1 2x(x + 4) – 3(x + 4) a. SOLUTION 3y 2 (y – 2) + 5(2 – y) b. 2x(x + 4) – 3(x + 4) = (x + 4)(2x – 3) a. The binomials.
Multiplying a binomial by a monomial uses the Distribute property Distribute the 5.
5.1 The Greatest Common Factor; Factoring by Grouping
Warm Up 1. 2(w + 1) 2. 3x(x2 – 4) 2w + 2 3x3 – 12x 3. 4h2 and 6h 2h
1 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 5-1 Polynomials and Polynomial Functions Chapter 5.
 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.
11.1 – The Greatest Common Factor (GCF)
Chapter Factoring by GCF.
Factoring Polynomials
x x 4 y , 15 Factor #1-4. Find the GCF for #5.
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.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Greatest Common Factors; Factoring by Grouping.
Section 4.4 – Factoring Quadratic Expressions Factors of a given number are numbers that have a product equal to the given numbers. Factors of a given.
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.
Solving Quadratics: Factoring. What is a factor? Numbers you can multiply to get another number 2  3.
5-2 Polynomials Objectives Students will be able to: 1)Add and subtract polynomials 2)Multiply polynomials.
Day Problems Simplify each product. 1. 8m(m + 6) 2. -2x(6x3 – x2 + 5x)
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.
Multiplying and Factoring Polynomial Expressions
Copyright © Cengage Learning. All rights reserved. Factoring Polynomials and Solving Equations by Factoring 5.
Objective Factor polynomials by using the greatest common factor.
Factor out a common binomial
5-4 Factoring Polynomials Objectives: Students will be able to: 1)Factor polynomials 2)Simplify polynomial quotients by factoring.
Factoring – Common Binomial Factor When factoring out the greatest common factor (GCF), sometimes there is a common binomial factor. In the following expression.
9-2 Factoring Using the Distributive Property Objectives: 1)Students will be able to factor polynomials using the distributive property 2)Solve quadratic.
Math 9 Lesson #34 – Factors and GCF/Factoring with Distributive Property Mrs. Goodman.
The Distributive Property Standard: Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum.
Patel – Honors Classes Only Page 243 # Factoring Polynomials 2/6/14 Thursday.
Objective The student will be able to: multiply two polynomials using the distributive property.
8.2: Multiplying and Factoring. Warm-up:  Greatest Common Factor (GCF)  The greatest factor that divides evenly into each term of an expression  Find.
Holt McDougal Algebra Factoring by GCF Warm Up 1. 2(w + 1) 2. 3x(x 2 – 4) 2w + 2 3x 3 – 12x 2h2h Simplify. 13p Find the GCF of each pair of monomials.
Math 71A 5.3 – Greatest Common Factors and Factoring by Grouping 1.
The distributive property and factoring an expression.
Notes Over 6.3 Adding Polynomial Horizontally and Vertically Find the sum. Just combine like terms.
Notes Over 10.8 Methods of Factoring Binomial Trinomial
Factoring and Expanding Linear Expressions .
Polynomials and Polynomial Functions
Section 10.8 Factoring Using the Distributive Property
Introduction to Factoring
Chapter 6 Section 1.
Section 6.4: Factoring Polynomials
Lesson 6.1 Factoring by Greatest Common Factor
Factoring By Grouping and Cubes.
Objective Factor polynomials by using the greatest common factor.
Warm Up 1. 2(w + 1) 2. 3x(x2 – 4) 2w + 2 3x3 – 12x 3. 4h2 and 6h 2h
Lesson Objective: I will be able to …
The Distributive Property
Reverse Distribution and Grouping
Algebra 1 Section 10.1.
Before: February 6, 2018 Factor each expression. 3m(m + 5) + 4(m + 5)
Unit 4. Day 4..
Polynomials and Polynomial Functions
Do Now 1. 2(w + 1) 2. 3x(x2 – 4) 3. 4h2 and 6h 4. 13p and 26p5
Lesson 7-2 Factoring by GCF part 1
Factoring by GCF CA 11.0.
7-2 Factoring by GCF Warm Up Lesson Presentation Lesson Quiz
Day 136 – Common Factors.
Chapter 6 Section 1.
Objective Factor polynomials by using the greatest common factor.
Day 147 – Factoring Trinomials
Bellwork: 1/23/ (w + 1) 2. 3x(x2 – 4) 3. 4h2 and 6h
Objective Factor polynomials by using the greatest common factor.
Factor Polynomials Completely
Section 8.5 Day 1 Using the Distributive Property
Writing Sums AS PRODUCTS & PRODUCTS as Sums
 .
The Distributive Property
Presentation transcript:

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 distributive property which we call “factoring”. Factoring means writing a sum or difference as a product. Factoring out the GCF (Greatest Common Factor)

Examples

Factor each of the polynomials Examples

1.Group terms. 2.Factor GCF out of each grouped binomial. 3.Now factor out GCF (a binomial) from the two factors found in step two. Factoring by grouping

Factor each of the polynomials completely Examples