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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear factors.

3mn - 6m + 15n + ___

 Feb 10, 2022
 #1
avatar+36417 
+2

( 3m  + 15 ) (  n -2 )  = 3mn -6m + 15n  -30

 Feb 10, 2022
 #2
avatar+122390 
+1

Thanks , EP.....here's another way to see this

 

Note  that the first two terms factored  =   3m ( n - 2)

 

Then using (n - 2)  as  one of the linear  factors, the last two  terms  can be written as  15 ( n - 2)

 

So  the factorization into  2 linear terms  =   (n - 2)  ( 3m + 15)  = 3mn - 6m  + 15n  - 30

 

Just as EP found  !!!

 

 

cool cool cool  

 Feb 10, 2022

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