Question

What is the greatest common factor of the polynomial 12x^2-9x

Answer 1

Answer:

3x

Step-by-step explanation:

Factor each term into prime factors

12x^2 =  =4x*3x = 2*2*3*x*x

9x = 3*3*x

The greatest common factor is 3x  So factor out 3x

Answer 2

For this case we have that by definition, the GCF of two numbers is the biggest factor that divides both numbers without leaving any residue. So, we find the factors of 12 and 9:

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

9: 1,3,9

Thus, the GFC of both is 3.

So, we have:

$3x (4x-3)$

Answer:

GFC: 3x