determine if the following expression is a polynomial.

\5x^4 - 2 + 5x^{-5}\

answer

yes no

Question

determine if the following expression is a polynomial.

\5x^4 - 2 + 5x^{-5}\

answer

yes no

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Classification" ], "new_concepts": [], "current_concepts": [ "Polynomial Classification", "Monomial Definition" ] } ## Identify the exponents of the variable $$ 4, \quad \text{none (constant term)}, \quad -5 $$ ## Apply the definition of a polynomial $$ n \in \{0, 1, 2, 3, \dots\} \implies -5 otin \mathbb{N}_0 $$ ## Determine the classification $$ \text{No} $$

Yes

No

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Classification" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the exponents of the variable

Apply the definition of a polynomial

Determine the classification

Answer: