Is $f (x) = x^{3} - 11 x^{2} + 3^{x}$ $f(x)=x^3-11x^2+3^x$ a polynomial?

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Answer 1 · 2015-07-10T20:53:09

No, it is not a polynomial function.

Although $x^{3} - 11 x^{2}$ $x^3-11x^2$ is a polynomial, the term $3^{x}$ $3^x$ is not of a form that we include in polynomials.

Terms of a polynomial must be either a constant (a number), or a constant times a variable raised to a positive integer power.

Is f(x)=x3−11x2+3xf(x)=x^3-11x^2+3^x a polynomial?