SOLUTION: For what real values of c is x^2 - 8x - 16x + c + 24x^2 the square of a binomial?

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Question 1209149: For what real values of c is x^2 - 8x - 16x + c + 24x^2 the square of a binomial?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
For what real values of c is x^2 - 8x - 16x + c + 24x^2 the square of a binomial?

First let's combine like terms:



So if it is to factor as the square of a binomial, there is 
some number a such that this is an identity:





So for them to be identical, we must have:

} and 

 and 

Answer: c = 144/25

Edwin



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