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A quadratic function will have a degree of two.
A quadratic function is a second degree polynomial, that is, is involves something raised to the power of 2, also know as squaring. Quadratus is Latin for square. Hence Quadratic.
It follows from the definition of a quadratic funtcion.
It is a quadratic equation that normally has two solutions
If a quadratic function is 0 for any value of the variable, then that value is a solution.