1. Factoring by GCF
CA 11.0

2. Objective - To factor a polynomial by finding the GCF

3. Factoring by Grouping If a polynomial has four terms:
first put it in STANDARD FORM
create groups of two
find the GCF and leftovers for each group
factor out a common binomial factor

4. Factoring by Grouping 12a3 - 9a2 + 20a - 15 3a2(4a - 3) + 5(4a - 3)

5. Try this!
9x3 + 18x2 + x + 2

6. Factoring with Opposites
OPPOSITES have the same absolute value but different signs.
Examples:
3 and –3
x and –x
(x – 5) and (5 – x)

7. Factoring with Opposites
3x3 - 15x x
3x2(x - 5) + 2(5 - x)
3x2(x - 5) + 2 (-1)(x - 5)
3x2(x - 5) – 2(x - 5)
(x - 5)(3x2 - 2)

8. Try this!
15x2 - 10x3 + 8x - 12