Question

What is the greatest common factor of 3x^43x 4 3, x, start superscript, 4, end superscript, 15x^315x 3 15, x, cubed, and 21x^221x 2 21, x, squared?

Answer 1

3x²

Explanation:

Given three functions 3x⁴, 15x³and 21x², the greatest common factor is the greatest value that can divide through the three functions at the same time.

To get this GCF, let us divide each functions into simplest form

3x⁴ = (3 *x * x) * x * x

15x³ = 5 * (3 * x * x) * x

21x² = 7 * (3 * x * x)

It can be seen that the product in parenthesis is common to the three functions given on expanding them, hence the greatest common factor of the three functions is 3 * x * x = 3x²