Download presentation

Presentation is loading. Please wait.

Published byKale Colman Modified over 3 years ago

1
6.4 Factoring Trinomials and

2
Let’s Investigate: Let’s Investigate: (x +4)(x + 3 ) = x 2 +3x +4x +12 = x 2 + 7x +21

3
(x +4)(x + 3) = x 2 +3x +4x +12 = x 2 + 7x +12 Factor: x 2 +7x +12 What set of factors of “12” add up to “7”

4
The Diamond Method product of “a” and “c” “b” Find the two numbers that will multiply to get the top and add to get the bottom.

5
(x +4)(x + 3) = x 2 +3x +4x +12 = x 2 + 7x +12 Factor: x 2 +7x +12 What set of factors of “12” add up to “7” (using the diamond method) 12 7 34

6
Factoring by grouping using the diamond method Use the numbers in the left and right of your diamond as your “x” coefficients to make a 4-term polynomial x 2 + 3x + 4x + 12 Group the first two terms together and the last two terms together (x 2 + 3x) + (4x + 12) Factor out the GCF of each group x(x + 3) + 4(x + 3) Notice that the contents of the parentheses are the same! Use that group as one set of parentheses, and then take the GCF's and put them in a set of parentheses (x + 3)(x + 4) Voila! You've factored the polynomial!

7
Factoring the “bottoms-up” way using the diamond method Set up two sets of parentheses as shown below using the left and right numbers in the diamond (__x + 3)(__x + 4) Divide both of the “numbers” by “a” (__x + 3)(__x + 4) 1 1 “Bottoms-up!” Simplify... (x + 3)(x + 4) Done!

8
Factor using your favorite method:

10
Now...let's try one where the “a” isn't “1” 36 13 94 Let's try it by grouping, first: 6x 2 + 9x + 4x + 6 (6x 2 + 9x) + (4x + 6) 3x(2x + 3) + 2(2x + 3) (2x + 3)(3x + 2) done!

11
Now...the “bottoms-up” method Same equation...6x 2 + 13x + 6 (__ x+ 9)(__x +4) 6 6 Reduce... (__ x+ 3)(__x +2) 2 3 Bottoms-up! (2x + 3)(3x + 2) Done!

12
Factor using your favorite method: 3x 2 + 4x + 1

13
Factor using your favorite method: 8x 2 - 6x - 9

14
A#: Page 276 # 1 – 36 (show the diamond method)

Similar presentations

Presentation is loading. Please wait....

OK

Factoring Trinomials.

Factoring Trinomials.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on abo blood group system Raster scan display and random scan display ppt on tv Download ppt on pulse code modulation transmitter Ppt on product specification level Ppt on story of taj mahal Ppt on tata trucks Ppt on online education in india Ppt on orientation for kindergarten parents Earthquakes for kids ppt on batteries Ppt on windows mobile operating system