Highest Common Factors (HCF) of P(x) and Q(x)
Factor each, and then make a table with the factors:
[HTML]P(x): (x + 1)(x + 2)(x + 4)
Q(x): (x + 1)(x + 2) (x - 5)
----------------------------------
LCM: (x + 1)(x + 2)(x + 4)(x - 5)
HCF: (x + 1)(x + 2)[/HTML]
The LCM is the product of all the factors; the HCF (or GCF, for Americans) is the product of only the common factors.