5.3 – Notes
Math 71A – Prof. Beydler
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Greatest Common Factors and Factoring by Grouping
_________________ is the reverse process of multiplication.
Multiplication:
Factoring:
Multiplication:
Factoring:
(
)
(
)
Greatest Common Factor (GCF)
GCF of a polynomial: ______ of the coefficients times each variable to the _______________ power.
ex: What is the GCF of
? ________
Ex 1.
Factor:
Ex 2.
Factor: 3
Ex 3.
Factor:
Factoring by Grouping
Ex 4.
)
Factor: (
(
)
Math 71A – Prof. Beydler
5.3 – Notes
Ex 5.
Factor by grouping:
Factoring by grouping:
1. ________ terms that have common monomial factor.
2. ______________ common monomial factor from each group.
3. ______________ remaining common binomial factor.
Ex 6.
Factor by grouping:
Note: Sometimes need to rearrange terms to get method to work.
Ex 7.
Factor by grouping:
Practice
1. Factor:
2. Factor:
3. Factor:
(
) (
4. Factor:
)
5. Factor by grouping:
6. Factor by grouping:
7. Factor by grouping:
8. Factor by grouping:
Q: The more you take, the more you leave behind. What are they?
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