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Find the constant $p$ such that $x^2 - 5x - 2x + 10x + p$ is the square of a binomial.

 Mar 4, 2024
 #1
avatar+129732 
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x^2 + 8x +  p

 

p  = (1/2 the coefficient on  x )^2  =  (8/2)^2  =  4^2 =  16

 

So

 

x^2 + 8x + 16  =

 

(x + 4) ( x + 4)  =

 

(x + 4)^2

 

cool cool cool

 Mar 5, 2024

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