what are quadratic polynomials?

n mathematics, a quadratic polynomial or quadratic is a polynomial of degree two. A quadratic polynomial may involve a single variable x, or multiple variables such as x, y, and z.

Any single-variable quadratic polynomial may be written as

where x is the variable, and a, b, and c represent the coefficients. In elementary algebra, such polynomials often arise in the form of a quadratic equation ax² + bx + c = 0. The solutions to this equation are called the roots of the quadratic polynomial, and may be found through factorization or through the use of the quadratic formula. Each quadratic polynomial has an associated quadratic function, whose graph is a parabola.