determine if the following expression is a polynomial.

\4x^4 - 3x^3\

answer
yes
no

Question

determine if the following expression is a polynomial.

\4x^4 - 3x^3\

answer
yes
no

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "direct_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Classification" ], "new_concepts": [], "current_concepts": [ "Polynomial Classification", "Monomial Definition" ] } ## Analyze the terms of the expression $$ 4x^4 - 3x^3 $$ ## Check exponents of the variable $$ \begin{aligned} &\text{Term 1: } 4x^4 \implies \text{exponent } 4 \in \mathbb{Z}_{\ge 0} \ &\text{Term 2: } -3x^3 \implies \text{exponent } 3 \in \mathbb{Z}_{\ge 0} \end{aligned} $$ ## Determine polynomial status $$ \text{All exponents are non-negative integers} \implies \text{Yes} $$

Yes

No

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

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QUESTION IMAGE

Question

Explanation:

Analyze the terms of the expression

Check exponents of the variable

Determine polynomial status

Answer: