3bda58b6-is-sqrtx-x2-a-polynomial-use-exponent-rules-to-justify-your-answer

Question

Is x+x2\sqrt{x}$$+x^2 a $$polynomial? Use exponent rules to justify your answer.

Accepted Answer

It is not a polynomial because x=x12\sqrt{x}=$$x^{\frac12}$$ has a fractional exponent

Answer

It is a polynomial because $$x2x^2$$ dominates, and the radical term can be ignored when considering the degree

Answer

It is not a polynomial only when xx is negative; otherwise, it behaves like a polynomial for positive values of xx

Answer

It is a polynomial because squaring the expression gives integer exponents

Is x+x2\(\sqrt{x}\)+x^2 a polynomial? Use exponent rules to justify your answer.