lacesparrows
lacesparrows lacesparrows
  • 17-02-2017
  • Mathematics
contestada

For an expression to be a polynomial what must be true about the exponents of the variables?

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LammettHash
LammettHash LammettHash
  • 17-02-2017
The exponents must be non-negative integers.

Examples:

[tex]x[/tex] is a polynomial (degree 1)

[tex]x^2-1[/tex] is a polynomial (degree 2)

[tex]x^3-\dfrac1{x^3}=x^3-x^{-3}[/tex] is NOT a polynomial, but a rational expression

[tex]\sqrt x=x^{1/2}[/tex] is NOT a polynomial, but an algebraic expression.
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