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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.

 Feb 5, 2020
 #1
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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

 

 

cool cool cool

 Feb 5, 2020

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