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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.

 Aug 15, 2023
 #1
avatar+806 
0

I misread the problem and made a mistake

 Aug 15, 2023
edited by Bosco  Aug 15, 2023
edited by Bosco  Aug 15, 2023
 #2
avatar+128732 
+1

3x^2 + nx  + 72

n will be greatest when 72 is  factored as  72 * 1

 

Factor  as    (3x  +1) (x + 72)   →    n =  217 x  

 

cool cool cool 

 Aug 15, 2023
edited by CPhill  Aug 15, 2023
 #3
avatar+82 
+1

Thanks!!!

xxyoohoo  Aug 15, 2023

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