Question

find the greatest common factor for the list of terms 30x^(3),110x^(4),60x^(5) answer in the same way as the example. example: 60

Answer 1

To find the greatest common factor (GCF) of the list of terms 30x^3, 110x^4, and 60x^5, we can begin by factoring each term into its prime factors:

30x^3 = 2 * 3 * 5 * x * x * x

110x^4 = 2 * 5 * 11 * x * x * x * x

60x^5 = 2 * 2 * 3 * 5 * x * x * x * x * x

Next, we can identify the common factors among the three terms. These are 2, 5, and x^3. The GCF is the product of these common factors:

GCF = 2 * 5 * x^3 = 10x^3

Therefore, the greatest common factor of 30x^3, 110x^4, and 60x^5 is 10x^3.

Explanation: