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What is the maximum value of 4(x + 7)(12 - x)?

 Jun 29, 2021
 #1
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4 ( x + 7) ( 12- x)

 

The roots  are    x = -7     and  x  =12

 

Because of  symmetry.....the  max  occurs at  x = ( 12  +  -  7)  / 2  =   5/2 =   2.5

 

Subbing  this back into the original expression , the  max is

 

4 ( 2.5 + 7) ( 12 - 2.5)   =

 

4 ( 9.5) ( 9.5)   =

 

361 

 

 

cool cool cool

 Jun 29, 2021

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