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Find the largest value of \(n\) such that \(3x^2 +nx + 72\) can be factored as the product of two linear factors with integer coefficients.

 Jul 23, 2019
 #1
avatar+111393 
+4

3x^2 + nx  + 72

 

The greatest pairwise sum of the factors of 72 is....  72  and 1   = 73....so....we can write

 

(3x + 1) (x + 72)   =   3x^2 + 1x + 216x + 72  =  3x^2 + 217x + 72

 

So....the largest value of n  =  217

 

 

cool cool cool

 Jul 23, 2019
 #2
avatar+1198 
+1

Thank You CPhill

 Jul 25, 2019

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