Factoring by Grouping

Warm Up:

1) Simplify: (x + 2) (x2 + 8)

2) Fill in the missing ?'s for the box method problem below:

Aim: To factor by grouping, using the "reverse box method"

Homework: pg. 531 - 532 # 14 - 30 (even #'s only)- Google form

2x2 -3x

-4x 6

2x

?

?

?

Warm Up:

1. Read the article about Factoring. As you read, write down new vocabulary words that you read about and what you think they mean.

2. Find the missing values

Aim: To factor polynomials by grouping

Homework: pg. 531 - 532 # 14 - 30 (even #'s only)- Google form

2x2 -3x

-4x 6

2x

?

?

?

(x + 2)(x + 3) x2 + 5x + 6

Distributing

Factoring

Remember:

2(y + 3) 2y + 6

Distributing

Factoring

So, if we use the box method to distribute polynomials, can we use the box method in reverse to factor polynomials?

x +1

x

+3

x2 x

3x 3

Yes, we can.

Some four-term polynomials are the product of two binomials. For these, we will use the "reverse box method".

Ex 1: Watch, do not copy

x3 - 4x2 - 2x + 8

Discussion question:

Do you think it matters where we put each term in the reverse box method?

If you're not sure, how do you think you can test it?

Factoring by Grouping

Ex 2: Factor Completely

2xy − 8y − 6x + 24Steps for Reverse Box Trick:

1) If there's a GCF, factor it out.

2) Set up a 2 by 2 box

3) 1st term in top left. Last term in bottom right. Fill in the rest.

4) Find the GCF in each row and column. Check that your signs are correct.

5) Write as a product.

1

A

B

C

D

Assessment Question

Factor the polynomial completely

Application: Factoring by Grouping

Option A: # 1 - 4 Option B: # 5 - 8 Option C: # 9 - 12

(Flip to Next Slide For Questions)

Summary: Write your answer on a post-it or separate paper ANSWER TO RIDDLE

(If Worksheet Is Done Correctly)

With "Ease"