Factorization Practice: Finding Greatest Common Factors
Practice factoring expressions by finding the greatest common factors in various examples, including identifying the GCF, dividing each term, and checking the solutions. Improve your algebra skills and understanding with these step-by-step factorization exercises.
Uploaded on | 0 Views
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Warm Up #5 1. Put in standard form, classify by degree, classify by number of terms: 5 3 x + 2 B) 2 4 x x A) 2) Simplify: A) ( x + 2 )( ) 4 x ) 1 2 ( 7 )( x x x B)
Factoring Day 1 Greatest Common Factors
Essential Question (2.28.2014) How can I write quadratic functions using equivalent linear expressions?
Greatest Common Factor (GCF) A greatest common factor is the biggest number that divides evenly into 2 or more terms. The GCF of variables with exponents is the common variable with the smallest exponent Ex) What is the GCF of 3x4+ 6x2
What is the GCF of 25a2and 15a? 5a Let s go one step further 1) FACTOR 25a2+ 15a. Find the GCF and divide each term 25a2+ 15a = 5a( ___ + ___ ) 5a 3 15 5 a a 2 25 5 a a Check your answer by distributing.
2) Factor 18x2 - 12x3. Find the GCF 6x2 Divide each term by the GCF 18x2 - 12x3 = 6x2( ___ - ___ ) 3 2x 2 3 18 6 12 6 x x x x 2 2 Check your answer by distributing.
3) Factor 28a2b + 56abc2. GCF = 28ab Divide each term by the GCF 28a2b + 56abc2 = 28ab ( ___ + ___ ) 2c2 a 2 28 28 a b ab 2 56 28 abc ab Check your answer by distributing. 28ab(a + 2c2)
4) Factor 28a2 + 21b - 35b2c2 GCF = 7 Divide each term by the GCF 28a2 + 21b - 35b2c2 = 7 ( ___ + ___ - ____ ) 4a2 5b2c2 3b 2 2 21 7 b 2 35 b c 28 a 7 7 Check your answer by distributing. 7(4a2 + 3b 5b2c2)
5) Factor 20x2 - 24xy 1. x(20 24y) 2. 2x(10x 12y) 3. 4(5x2 6xy) 4. 4x(5x 6y)
6) Factor 16xy2 - 24y2z + 40y2 1. 2y2(8x 12z + 20) 2. 4y2(4x 6z + 10) 3. 8y2(2x - 3z + 5) 4. 8xy2z(2 3 + 5)
