Download presentation

Presentation is loading. Please wait.

1
Factoring by Grouping

2
When you have 4 terms Remember– To factor out a GCF, we write the GCF on the outside and divide each term by the GCF. Ex) x5y – x3y + 3y = y(x5 – x3 + 3) You try: 3x2y - 9xy + 18xy2 3xy(x – 3 + 6y)

3
**So, if instead of a variable, our GCF is a binomial, we do the same thing:**

3(x – 2) + 5y(x – 2) Our GCF is: (x – 2) When we pull that out we get… (x – 2) (3 + 5y)

4
**You try: x(a – 4) – 3( a – 4) Did you get: (a - 4)(x - 3)???**

m(p + 3) + q(p + 3) Did you get: (p + 3)(m + q)???

5
**What if the GCF is not obvious?**

What if I have a problems like: x2 + 3x + 2xy + 6y That is when we have to group terms together. Always try to group the 1st 2 and the last 2. x(x + 3) + 2y(x + 3) (x + 3)(x + 2y) Take out the GCF of each group What is in parentheses will be the same (most of the time)

6
**Let’s try: y2 – 5wy + 4y - 20w y (y – 5w) + 4(y – 5w) (y – 5w)(y + 4)**

2) ab + 7b – 3a – 21 b(a + 7) – 3(a + 7) (a + 7)(b – 3) If the middle sign is a negative, you must remove a negative from the second set. Remember, when you divide a number by a negative, the sign changes

7
**What if what is in my parentheses is not the same???**

x2 – 5x3 + 15x – 3 x2(1 – 5x) + 3(5x – 1) x2(1 – 5x) - 3(1 – 5x) (1 – 5x)(x2 – 3) You try: ax - bx + by – ay x(a - b) + y (b - a) x(a - b) – y (a – b) (a – b) (x – y) Is -1(5x – 1) the same thing as (1 -5x)???? Yes!!!! So, change that +3 to a -3 and then the insides of the ( ) will be the same thing!!

8
**Try these: 1. 5xy2 – 20x + 3y3 – 12y 2x3 + 10x – x2y - 5y**

12n3 + 15n2 + 4n + 5 Answers: 1. (5x + 3y)(y2 – 4) (5x + 3y)(y + 2)(y – 2) 2. (2x – y)(x2 + 5) 3. (3n2 + 1)(4n + 5)

9
**Homework 1. 2x3 + 4x2 + x + 2 2. 2x3 + 6x2 + 3x + 9**

Similar presentations

OK

Multiplying Polynomials. Multiply monomial by polynomial.

Multiplying Polynomials. Multiply monomial by polynomial.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on domain and range of functions Ppt on natural numbers 0 Ppt on case study of mcdonald's A ppt on srinivasa ramanujan Download ppt on energy and environment Ppt on area of parallelogram and triangles in geometry Ppt on brand marketing group Ppt on natural resources and wildlife Ppt on real numbers for class 9th notes Ppt on steve jobs