223k views
5 votes
Someone please show me how to find the greatest common factor of this? thank you

Someone please show me how to find the greatest common factor of this? thank you-example-1
User Codium
by
6.2k points

1 Answer

5 votes

12a^4x^2 y^(10) + 6 a^(9) x^(5) y^(4) - 4 a^(3) x^(5) y^(1)

Start by looking for the GCF for the coefficients: 12, 6 and -4
largest factor/number that divides out of all of them.
GCF for coefficients is 2

Then take the smallest exponent common to all terms for each variable.
smallest exponent for "a" is 3
smallest exponent for "x" is 2
smallest exponent for "y" is 1

GCF is: 2a³x²y
Answer A.

User Minh Tien Tran
by
6.7k points