Question

determine if the following expression is a polynomial.

\\-6x^{\frac{1}{2}}\\

answer

yes
no

Explanation:

Identify the given expression

$$ -6x^{\frac{1}{3}} $$

Analyze the exponent of the variable

$$ n = \frac{1}{3} otin \mathbb{Z}_{\ge 0} $$

Determine polynomial status

$$ \text{Since } \frac{1}{3} \text{ is not a non-negative integer, the expression is not a polynomial.} $$

Answer:

• Yes
• No (Correct answer)