1. Warm up
Factor completely

2. Factoring by Grouping
SWBAT: Given 4 terms completely factor the given polynomial
SWBAT: Factor a trinomial using grouping

3. To Factor using grouping
you must have
EXACTLY
4 terms.

4. Ex. 1: 5x + 15 + xy + 3y (5x + 15) (xy + 3y) 5(x + 3) + y(x + 3)
Step 1: Factor GCF
Done
Step 2: Break the terms into 2 parts – group 1st 2 together and last 2 together
(5x + 15) (xy + 3y)
5(x + 3) + y(x + 3)
Step 3: factor each part separately
Hint: What’s inside the parenthesis should match.
Step 4: Write your answer
(x + 3)(5 + y)
Step 5: Check your answer – multiply it out.
5x xy + 3y

5. Ex 2: 2xy - 4ya + 10x – 20a 2(xy – 2ya + 5x – 10a) Step1: GCF Step 2:
2 groups
Step 3:
Factor each group
Step 4:
Write answer
Step 5:
Check answer
2(xy – 2ya) (+5x – 10a)
2[y(x – 2a) +5(x – 2a)]
2(x – 2a) (y + 5)
2xy – 4ya + 20a – 10x

6. Ex3: 18x3 + 6x2 +3x+1 St1 – done St2 (18x3 + 6x2) (3x + 1)
If they have no common factor you must put 1

7. Ex 4: 4x2 – 8xy – 3x + 6y Step 2: Step 3: Step 4: Step 5:
Hint: if the 3rd term is negative you must factor out a negative.
4x (x – 2y) -3(x – 2y)
(x – 2y) (4x – 3)
4x2 – 8xy – 3x + 6y

8. You try this one. Ex 5: 5x2 – 20x2y + 5a – 20ay
Remember to factor out anything that all terms have in common!
5(x2 – 4x2y + a – 4ay)
Answer: 5(x2 + a) (1 – 4y)

9. Factoring ws #6 Factoring by Grouping
Homework:
Factoring ws #6 Factoring by Grouping