To find one of the factors of the expression 6x³ + 864x, we can start by factoring out the greatest common factor (GCF) from both terms.
First, we notice that both terms have a common factor of 6x. We can factor 6x out:
6x³ + 864x = 6x(x² + 144)
Now, we see that x² + 144 cannot be factored further over the real numbers since it is the sum of a square and a positive number. Thus, one of the factors of the original expression is:
6x
In conclusion, 6x is a factor of 6x³ + 864x.