A function of the form

f (x) = a₀xⁿ + a₁x^n-1 +.....+ an

Where n is a nonnegative integer and a0,a1,....,an are constants with a0 ≠  0, is called a polynomial function in x of degree n, a0 is called the leading coefficient.

For example, the function f (x) = 2x³ – 5x² + 7x + 1 is polynomial function in x of degree 3.

Note that a linear function is a polynomial of degree 1 and a quadratic function is a polynomial of degree 2. The domain of any polynomial is the set of all real numbers.

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