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.
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
Thank You CPhill
+1206 
