Find the largest value of \(n\) such that \(5x^2 + nx + 48\) can be factored as the product of two linear factors with integer coefficients.
We have
(5x + 1) ( x + 48) =
5x^2 + 1x + (48 * 5) x + 48 =
5x^2 + 1x + 240x + 48
5x^2 + 241x + 48
So
n = 241
