SOLUTION: Hello, I need help with the following math problem: What constant must we place in the box below in order to be able to factor the resulting expression into the product of tw

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hello, I need help with the following math problem: What constant must we place in the box below in order to be able to factor the resulting expression into the product of tw      Log On


   

Question 1046467: Hello,
I need help with the following math problem:
What constant must we place in the box below in order to be able to factor the resulting expression into the product of two linear factors (the link to the equation is below): http://latex.artofproblemsolving.com/c/6/8/c68931d7c0df16d9da744ba16c54457699dffbbe.png
Thanks,
Nicole
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2mn+-16m+-7n+%2B_.....group
%282mn+-16m%29+-%287n+-_%29
2m%28n+-8%29+-%287n+-_%29.....since we have %287n+-_%29 and in first one %28n+-8%29, means we will need factor out 7 like this 7%28n+-7%2A8%29;so, we will need 56
2m%28n+-8%29+-%287n+-56%29
2m%28n+-8%29+-7%28n+-8%29
%282m-7%29%28n+-8%29