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Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.

 

x^2 + 48x + ___

 May 31, 2022
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Fill in the blank with a constant, so that the resulting quadratic expression is the square of a binomial.

 

x^2 + 48x + ___    

 

This one is easy because the coefficient of the squared term is one. 

 

When you have (x + n)2, multiplied out is x2 + 2nx + n2    

 

In this example, 2nx = 48x therefore n = 24   

 

So n2 = 242, which works out to 576  

 

Put 576 in that blank.     

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 Jun 1, 2022

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