Question

Factor by grouping. Then supply the term that is missing below. 2mn-3m+8n-12=(m+4)(?-3) The missing term ? = _____.

Answer 1

2mn - 3m + 8n - 12

Let's group the first two terms together and the last two:

2mn - 3m and 8n - 12

In the first group, m is the greatest common factor.

m(2n - 3)

In the second group, 4 is the greatest common factor.

4(2n - 3)

Therefore, (m + 4) and (2n - 3) are our factors. Our missing term is 2n.