Match each pair of monomials with their greatest common factor. Tiles 4p4q5 and 8p3q2 24pq6 and 16p3q5 8p3q6 and 4p2q5 16p3q2 and 24p2q 12p3q and 4p2q5 Pairs 4p2q5 arrowBoth 4p3q2 arrowBoth 8p2q arrowBoth 8pq5 arrowBoth

Question

Mathematics

Bozley

24 June, 09:33

Match each pair of monomials with their greatest common factor. Tiles 4p4q5 and 8p3q2 24pq6 and 16p3q5 8p3q6 and 4p2q5 16p3q2 and 24p2q 12p3q and 4p2q5 Pairs 4p2q5 arrowBoth 4p3q2 arrowBoth 8p2q arrowBoth 8pq5 arrowBoth

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Jaydon Armstrong · Answer 1

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.