Is f(x)=-3x^{4}\sqrt{x}+13x^{2}-5x a polynomials?

Journey Stout

Journey Stout

Answered question

2022-01-28

Is f(x)=3x4x+13x25x a polynomials?

Answer & Explanation

tipoule137p

tipoule137p

Beginner2022-01-29Added 10 answers

It is not a polynomial in x since not all of the powers of x are integers. It is a polynomial in x.
Explanation:
x=x12 is a non integer power of x so this is not a polynomial in x.
It is a polynomial in x.
If you put y=x, then
f(x)=3y9+13y45y2 with the restriction y0.
This is a polynomial in y.

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