SOLUTION: Find the constant term that should be added to make the following expression a perfect-square trinomial. x^2-2x

Question 88267: Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2-2x

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Take half of the x coefficient -2 to get -1 like this

Now square -1

Answer:

So the term to add is 1

Notice if we factor

we get

and this verifies our answer
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2-2x
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x^2-2x+(2/2)^2 = x^2-2x+1 (this is a perfect square trinomial)
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Cheers,
Stan H.
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