anonymous
  • anonymous
are either of these polynomials? *f(x)=x^3-11x^2+3^x *f(x)=2x^3-5x^5-2/9x^2+9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
not sure if a polynomial can a variable for an exponent
anonymous
  • anonymous
A polynomial is a polynomial if and only if the co-efficients are all real and all the exponents of the terms are real numbers and positive. So for example, \(f(x)=x^3-11x^2+3^x\) Is NOT a polynomial because the third term has a exponent which is not a real number, But a variable.
anonymous
  • anonymous
Just a question, is the second one, \(f(x)=2x^3-5x^5-\frac{2}{9x^2}+9\) ?

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anonymous
  • anonymous
what about if there was a fraction with a variable on the side?
anonymous
  • anonymous
like the "co-efficient" is the fraction, or the "exponent" is the fraction or the variable is the fraction?
anonymous
  • anonymous
like for ex: (2/9)x^2 .
anonymous
  • anonymous
That is OKAY. Because \(\frac{2}{9}\), Though it is a fraction represents a number (0.22222...) So it is a valid co-efficient.
anonymous
  • anonymous
Think about it like this. Would \((\frac{2}{9}x^2)\) Look more "polynomial-ish" if it was \((0.222x^2)\)?
anonymous
  • anonymous
cool thank you!

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