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 Polynomials Polynomial Vocabulary Simplifying expressions Addition Subtraction Multiplication (FOIL) Multiplication Special products Long division Synthetic division Remainder theorem Roots and factors of a polynomial Polynomial Function Polynomial Function Let n be a nonnegative integer and let an,an-1,...,a2,a1,a0 be real numbers with an$\neq$0. The function given by : f(x)= anxn+an-1xn-1+...+a2x2+a1x+a0 is called a polynomial function of x with degree n. Polynomial functions are classified by degree: A constant function f(x)=c with c$\neq$0 has degree 0. A linear function f(x)=ax+b with a$\neq$0 has degree 1. A quadratic function f(x)=ax2+bx+c with a$\neq$0 has degree 2.