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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.

 Sep 10, 2020
 #1
avatar+37159 
+2

3 (x^2 + kx + 24)

  3 ( x+1)(x+24)

    3 (x^2 + 25x + 24 )

     (3 x^2 + 75x+72)

        (3x+3)(x+24)               I think the answer would be   n=75     (?)

 Sep 10, 2020
 #2
avatar+30 
0

I figured it out! It's actually 217, but thank you! smiley

 Sep 11, 2020

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