SOLUTION: Is the following trinomial a perfect square: x^2 - 6x + 9 I do not understand what method I am to use to figure this out, can anyone help me out please? Thank you

Question 69885: Is the following trinomial a perfect square:
x^2 - 6x + 9
I do not understand what method I am to use to figure this out, can anyone help me out please? Thank you
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Set equation equal to zero
Get similar factors to one side, ie all x's to one side
Take half of the 2nd coefficient (6) and square it, then add it to both sides (note: when you take half of the 2nd coefficient, it will be part of the perfect square)
You'll be left with this after simplification
Factor the polynomial (note if FOILed, (x-3)^2 becomes x^2-6x+9)
Since the answer is in the form (x-b)^2=0 and there is no extra numbers left over, the original polynomial is a perfect square.
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