SOLUTION: need some help with finding the term that must be added to the expression to create a perfect square trinomial.x2+18x.please help.

Question 91222: need some help with finding the term that must be added to the expression to create a perfect square trinomial.x2+18x.please help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Take half of the x coefficient 18 to get 9 (ie )
Now square 9 to get 81 (ie )

Now add 81 to the expression

So is now a perfect square

Check:

Notice if we factor , we get . So this verifies that is a perfect square.
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