1 / 9

5.3 Common Factors

5.3 Common Factors. Warm Up!. List all the factors of 12. List all the common factors of 8 and 12. What is the GCF (greatest common factor) of 8 and 12? 4) Challenge! What is the GCF of ?. 1, 2, 3, 4, 6, 12. 2, 4. 4. Review of key CONCEPTS.

rusti
Télécharger la présentation

5.3 Common Factors

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 5.3 Common Factors Warm Up! List all the factors of 12. List all the common factors of 8 and 12. What is the GCF (greatest common factor) of 8 and 12? 4) Challenge! What is the GCF of ? 1, 2, 3, 4, 6, 12 2, 4 4

  2. Review of key CONCEPTS When two integers are multiplied together, the answer is called the __________. product The integers that were multiplied together (the 3 and 8) are called the __________ of the product. factors

  3. The greatest common factor (GCF) of two or more integers is the largest integer that is a factor of all the numbers. What is the GCF of 9, 18, and 36? We can use this same idea to help us factor polynomials!

  4. To find the greatest common factor (GCF) of two or more monomials, we must examine the coefficients and the variables separately. Find the GCF of the two monomials below: Example! and The GCF factor of 18 and 6 is 6 The highest exponent of in both terms is The highest exponent of in both terms is Thus, the GCF of these two terms is

  5. More about common factoring! Once you find the GCF in a polynomial, factor it out (divide it out) of each term. This will create two factors. Let’s try some examples! 1) Factor fully: 2) Factor fully: 3) Factor fully:

  6. Factoring a polynomial is the opposite of expanding! Factoring Expanding

  7. One more thing! A common factor does not always have to be a monomial. It can sometimes be a binomial. How can we factor this polynomial? Example! In this example, the polynomial had a common factor that was a binomial (y – 1).

  8. Factoring out a common binomial is important when factoring by grouping. Sometimes polynomials will have groups of factors that are common. Thus, we can factor the first part of it, then the second separately. Let’s see how it works! Example! First group terms with a common factor. Factor out the GCF from each group, then remove the binomial common factor.

  9. "Desire is the key to motivation, but it's the determination and commitment to an unrelenting pursuit of your goal - a commitment to excellence - that will enable you to attain the success you seek.“ – Mario Andretti (Racecar driver) Homework Pg. 234: #C2 #1, 3 – 6 (choose 4 from each) #7 – 10 #11a, 13a Image from www.barrygrant.com

More Related