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What is the maximum value of 4(x + 7)(2 + x) , over all real numbers x?

 Sep 12, 2021
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What is the maximum value of 4(x + 7)(2 + x) , over all real numbers x?    

 

4(x + 7)(2 + x) multiplies out to 4x2 + 36x + 56    

 

The +4x2 identifies the expression as a parabola opening upward.     

 

As such, there is no maximum value of x, it goes on forever.    

.    

 Apr 27, 2025

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