Question

is this a polynomial?
${x}^{2} + \frac{ {3x}^{ \frac{3}{2} } }{ \sqrt{x} }$
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Answer 1

Answer and explanation:

No, the given algebraic expression is not a polynomial. The variable x has a negative exponent in the second term $\frac{3x^\frac{3}{2}}{\sqrt{x}}$. The term can also be written as $3x^{\frac{3}{2}}\times x^\frac{-1}{2}$. The definition of a polynomial states that the variable has to have a whole number as its exponent. Hence, the given expression is not a polynomial.

I hope this helps. :D