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+1
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avatar+46 

Find the number that we can place in the box so that the resulting expression can be factored as the product of two linear factors.

 

\[3mn - 6m + 5n + \boxed{\phantom{00}}\]

 

Sorry! This is just really confusing to me right now :(

 Apr 14, 2020
 #1
avatar+21004 
+2

3mn - 6m + 5n + ?

 

Factoring "3mn - 6m"

  3m(n - 2) + 5n + ?

 

We need to have it look like this:

  3m(n - 2) + 5(n - 2)

 

So:  ?  =  -10

 

Checking:

 3mn - 6m + 5n - 10

  3m(n - 2) + 5(n - 2)

  (3m + 5)(n - 2)

 Apr 14, 2020
 #2
avatar+46 
+1

Thank you so so much! :)

SavvyBee  Apr 14, 2020

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