Factor this expression completely and then place the factors in the proper location on the grid. Note:
Place factors alphabetically in the grid! mn - 4 m - 5 n + 20
First we are going to group the terms that contains the common factor [tex]m[/tex] in one parenthesis, and the other ones in another parenthesis: [tex]mn-4m-5n+20[/tex] [tex](mn-4m)-(5n+20)[/tex] Notice that our the terms in our first parenthesis have a common factor [tex]m[/tex], and the terms in our second one have the common factor [tex]5[/tex]. Lets factor those out: [tex]m(n-4)-5(n-4)[/tex] Now we have a common factor [tex](n-4)[/tex] in both terms, so we can factor those out as well: [tex](n-4)(m-5)[/tex]
We can conclude that the completely factored expression ordered alphabetically is [tex](m-5)(n-4)[/tex].
