1. Warm-Up
Factor:
1) 2x4y – 162y 2) 27x ) x2 + 25

2. HW GCMF, Difference of Squares, Difference of CubesAnswers:

4. Factoring! Objectives: To factor “special pattern” binomials
To factor by grouping

5. Flowchart
Let’s review what we have learned about how to approach factoring polynomials on our flowchart!

6. Factoring: Polynomials
Now that we’ve exhausted the binomial possibilities, what’s next? Let’s check polynomials with four or more terms. As your flowchart indicates, this is best done by grouping.

7. Factoring by Grouping Consider the polynomial below:
x3 + x2 + 2x + 2 =
the entire polynomial does not have a GCF.
if we group the first two terms together, and group the last two terms together, each grouping has a GCF that can be factored out.

8. Factoring by Grouping
Consider the polynomial below: x3 + x2 + 2x + 2 (x3 + x2) + (2x + 2) x2(x + 1) + 2(x + 1) (x + 1)(x2 + 2)

9. Factoring by Grouping group terms that have a common factor together
factor out the GCF of each group.
check that each factor is prime.
(x + 1)(x2 + 2)

10. Examples
Factor.
2x3 + x2 + 32x + 16
x3 + 5x2 – 4x – 20

11. Examples
Factor.
3. ax + by + bx + ay
4. x3 + xy – 6y – 6x2

12. Sneedlegrit:
Factor.
3. 2x3 + 8x2 – 3x – 12

13. CW: Factoring!
HW: Finish CW