Question

Which term can be added to the list so that the greatest common factor of the three terms is 12h3?

36h3, 12h6, __________

6h3

12h2
30h4
48h5

Answer 1

first consider the coefficients - if you add a third number to the list 36 and 12, the gcf must still be 12 so you can eliminate two choices this way

Answer 2

and to eliminate the last choice, the term must have an h term with an exponent of at least 3 (otherwise the gcf won't be h^3 anymore)