You can put this solution on YOUR website! Do you mean "How do you complete the square?"
I do not really know what you meant to ask, but I am going to try to answer, anyway. has 3 terms, so it is a trinomial.
It's degree is 2, so it can be called a quadratic trinomial, or a quadratic polynomial. would be called a quadratic function, and would be called a quadratic equation.
The sum of terms can be considered to be part of the square
That trick is often called "completing the square."
That is useful for finding the axis of symmetry and vertex of the curve (called a parabola) described by .
It is also useful for solving quadratic equations.
That tells you that the function has a minimum (and the parabola has a vertex) at with
Similarly can be written as or and solved to get , which gives you and as solutions.
