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Maths Exercices
Polynomial Function

Let n be a nonnegative integer and let an,an-1,...,a2,a1,a0 be real numbers with an0. The function given by :

f(x)= anxn+an-1xn-1+...+a2x2+a1x+a0

is called a polynomial function of x with degree n.


Polynomial functions are classified by degree:

  • A constant function f(x)=c with c0 has degree 0.
  • A linear function f(x)=ax+b with a0 has degree 1.
  • A quadratic function f(x)=ax2+bx+c with a0 has degree 2.