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Find the constant \(p\) such that \(x^2-5x+2x-p\) is the square of a binomial.

 Feb 16, 2024
 #1
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Simplify  as

x^2 -3x  -  p

 

{ p must be negative }

 

To find p

take (1/2) of (-3)  = -3/2.....square it =  9/4

 

p = -9/4

 

Check

 

x^2  -3x  - (-9/4)  =

 

x^2 -3x + 9/4  =

 

(x -3/2)^2

 

cool cool cool

 Feb 16, 2024

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