Question

determine if the following expression is a polynomial.

\\x^{\frac{2}{3}}\\

answer
yes
no

Explanation:

Identify the exponent of the variable

$$ x^{\frac{2}{3}} \implies \text{exponent} = \frac{2}{3} $$

Apply the definition of a polynomial

$$ \frac{2}{3} otin \{0, 1, 2, 3, \dots\} $$

Determine polynomial status

$$ x^{\frac{2}{3}} \text{ is not a polynomial} $$

Answer:

• Yes
• No (Correct answer)