Question

Which terms could have a greatest common factor of 5m2n2? Select two options.

Answer 1

please post these options

Answer 2

we need the options

Answer 3

m5n5
5m4n3
10m4n
15m2n2
24m3n4

this is a little hard to explain, but if it has the GCF 5m^2n^2, then the terms must both be some multiple of 5(m^2)n^2, but cannot have a common factor greater than that

since there's a coefficient of 5 in the GCF, the coefficient of the terms must be some multiple of 5, narrowing us down to

5m4n3
10m4n
15m2n2

now, considering that the GCF also has a n^2, each term must have at least an n^2 (or higher exponent n term). use this to eliminate one of the terms and get you to the two solutions.