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avatar+185 

What number can be placed in the box, so that the resulting quadratic expression is the square of a binomial?

\(x^2 + 22x + \boxed{\phantom{000}}.\)

 Jun 3, 2020
 #1
avatar
-1

The number that goes in the box is 22^2 = 484.

 Jun 3, 2020
 #2
avatar+21955 
+1

If the coefficient of the first term is 1: to find the last term, divide the middle term by 2, and square the result.

 

22 / 2  =  11     --->     112  =  121

 

x2 + 22x + 121     --->     (x + 11)2

 Jun 3, 2020

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