Q:

Instructions:Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match each pair of monomials with their greatest common factor.Tiles4p4q5 and 8p3q224pq6 and 16p3q58p3q6 and 4p2q516p3q2 and 24p2q12p3q and 4p2q5Pairs4p2q54p3q28p2q8pq5

Accepted Solution

A:
The GCF of the first two is 4p³q².
The GCF of the second two is 8pq⁵.
The GCF of the third two is 4p²q⁵.
The GCF of the fourth two is 8p²q.
The GCF of the fifth two is 4p²q.

To find the GCF of each pair, find the greatest number that will divide into each coefficient.  As for the variable portions, choose the variable that has the smallest exponent from each pair.