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determine if the following expression is a polynomial. \\( 8x^{\\frac{1…

Question

determine if the following expression is a polynomial.

\\( 8x^{\frac{1}{2}} \\)

answer

  • yes
  • no

Explanation:

Identify the given expression

$$ 8x^{\frac{1}{3}} $$

Analyze the exponent of the variable

$$ n = \frac{1}{3} otin \mathbb{W} \quad (\mathbb{W} = \{0, 1, 2, 3, \dots\}) $$

Determine polynomial status

$$ 8x^{\frac{1}{3}} \text{ is not a polynomial} $$

Answer:

  • Yes
  • No (Correct answer)