INT MATHCOPY and Evaluate these probelms
Get out your notebook GCF today notes
Factors and Mutliples of monomials
Monomial: expression with one term
ex.
Monomials have factors and multiples
Factoring:: you know this
The PAIRS of numbers that multiply to give you the
number you are dealing with
Now--we are going to throw in variables
RECALL: exponent rule #2
When multiplying like bases-YOU ADD the exponents
Identifying Factor Pairs:
What are some of the factor pairs of 8x3
?
This may be easier for you....
Remeber this step--it will make finding the GCF
easier
Factor out 6x2 y
**Separate out each part and factor
**Remeber the NUMBER you want to break all the
way down to prime numbers
Finding the GCF
(watch your wording)
Find the GCF of 12x2 y and 18x3 y2
1. List out the factors of each monomial (prime numbers)
2. circle the common factors
3. Combine the common factors using them ONCE
Another method....
Find the GCF of 12x2 y and 18x3 y2
Break them apart:
THEN for the coefficeint- find the BIGGEST number
that GOES INTO both numbers evenly (factor them)
For the variable part: PICK the one that
has the LOWEST exponent of the PAIR
So let's see try these:
Find the GCF of the following:
LCM Least common multiple
**SMALLEST term that is a MULTIPLE of two or
more monomials
(This answer will LOOK bigger than the 2 you start
with)
How to do it...
Find the LCM of 6xy3 and 10x2 y
1. Factor out each monomial (prime numbers)
2. circle the common factors
3. MULTIPLY the factors using the common ones ONLY once
Another method:
FIND the MULTIPLES of the coefficeints
(take each one and multiply by 2, then 3, then...
(do for both UNTIL you get a matching one--LCM)
For the VARAIBLE part: pick the varible with the
HIGHEST exponent from the pair
(include ALL variables)
let's try this one....
Find the LCM of 8x3 y4 z and 12x2 y3