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The quadratic 3x^2-24x+72 can be written in the form a(x+b)^2+c, where a, b, and c are constants. What is a+b+c?

 Jan 23, 2022
 #1
avatar+36434 
+2

3x^2-24x+72

3 ( x^2 - 8x) + 72     complete the square

3 ( x - 4)^2   -48 + 72

3 ( x-4)^2 + 24

 

   You can finish !

 Jan 23, 2022
 #2
avatar+726 
+2

The answer would then be \(3 + (-4) + 24\) which is 23.

 

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proyaop  Jan 23, 2022

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