Polynomial Question?

Why Is f(x)=2x^(-4) -3x + 2 a polynomial and y=x^-2 +7x^3 +1 not?

I'm wondering if g(x)=9 is a polynomial would that mean that y=9 is NOT a polynomial?

2 Answers

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  • rotchm
    Lv 7
    3 weeks ago

    f(x)=2x^(-4) -3x + 2 and  y=x^-2 +7x^3 +1 are both NOT polynomials. This is because some of the variables have negative exponents. A poly(nomial) has non negative exponents and integers, like 4, 2x, 7x^2000 + x² - 20 etc.

    g(x) = 9 or y = 9 or 9 are polys, poly of degree zero. But some prefer to define a poly as positive integer exponents. In that case, g(x) = y = 9 would not be a poly. 

  • 3 weeks ago

    wikipedia:

    In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

    neither of your examples are polynomials, only + exponents allowed.

    g=9 or y=9 are not polynomials

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