consider the following expression:
\x^3 + 2x^2 + x\
step 1 of 2: the given expression is a polynomial. determine if the polynomial is a monomial, binomial, or trinomial.

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{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Classification" ], "new_concepts": [], "current_concepts": [ "Polynomial Classification", "Monomial Definition" ] } ## Identify the terms of the expression $$ x^3, \quad 2x^2, \quad x $$ ## Count the number of terms $$ N = 3 $$ ## Classify the polynomial based on term count $$ \text{3 terms} \implies \text{trinomial} $$ trinomial { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Classification" ] }

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Explanation:

Identify the terms of the expression

Count the number of terms

Classify the polynomial based on term count

Answer: