Find the greatest common factor of the terms of the polynomial. 4x^3- 12x Write your answer as a constant times a product of single variables raised to exponents.

Question

asked Jun 18, 2021 95.0k views

1 Answer

Dean Davids · Answer 1 · 2021-06-24T01:33:21+0000

For this case we must find the GCF of the following expression:

4x ^ 3-12x

By definition we have that the GCF of an expression is given by the greatest common factor that divides both numbers without leaving remainder.

We find the factors of 4 and 12:

$4: 1,2,4\\12: 1,2,3,4,6,12$

The GCF of both numbers is 4. Thus, the GCF of the expression is
:

4x (x ^ 2-3)

Answer:

4x (x ^ 2-3)