What is a polynomial function?

What is a polynomial function?



A polynomial function is a function in the form:

f(x)=anxn+an1xn1+an2xn2+f\left( x \right)\; = {a_n}{x^n} + \;{a_{n - 1}}{x^{n - 1}} + {a_{n - 2}}{x^{n - 2}} + +a2x2+a1x+a0 + {a_2}{x^2} + {a_1}x + {a_0}

\bulletcoefficients: an{a_n}, an1{a_{n - 1}}, . . . , a2{a_2}, a1{a_1}
\bulletleading coefficient: "an{a_n}", the coefficient of the highest power of x
\bulletconstant term: "a0{a_0}", the term without xx
\bulletdegree of the polynomial function: nn, the highest power of xx
  • 2.
    Recognizing a Polynomial Function

    Which of the following are not polynomial functions? Explain.

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What is a polynomial function?

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