What are second degree polynomials

Anonymous
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Remember what a polynomial is
https://www.mathsisfun.com/algebra/polynomials.html
A polynomial of the form y = ax^{2}+ bx + c is called a polynomial of second degree, a quadratic polynomial or a quadratic function. Where a is \neq 0, b and c can be zero. There should also be no negative terms in a polynomial.
P_{1}(x) = 2x^{2} - 3x +7 - this is a second degree polynomial
P_{2}(x) = 3x + 7 - this is not a second degree polynomial since there is no x^{2}
P_{3}(x) = x^{2} - 1 - this is a second degree polynomial ( b or c can be zero)
P_{4}(x) = x^{2} - \frac{1}{x} - this is not a polynomial ( x is not allowed in the denominator)