SOLUTION: Could someone help me please. This is a trinomial not a polynomial. Find the constant term that should be added to make the following expression a perfect square trinomial. x^2+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Could someone help me please. This is a trinomial not a polynomial. Find the constant term that should be added to make the following expression a perfect square trinomial. x^2+1      Log On


   



Question 88164: Could someone help me please. This is a trinomial not a polynomial.
Find the constant term that should be added to make the following expression a perfect square trinomial.
x^2+18x

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
This is called "completing the square". Assuming that the coefficient of the x^2 term is 1, you take HALF of the x coefficient, and SQUARE it. In this case, take HALF of 18 (which is 9) and SQUARE (which is 81).

Now you have
x%5E2%2B18x%2B+81
%28x%2B9%29%5E2

The final answer is 81.

R^2