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{ "quality": "incomplete", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Volume Polynomials", "Polynomial Term Identification" ], "current_concepts": [ "Volume Polynomials", "Polynomial Term Identification" ] } ## Identify the volume polynomial from typical context $$ \begin{aligned} V(c, d) &= 56c^3 + 168c^2d - 30c^2 - 90cd \ \text{Terms} &= \{56c^3, 168c^2d, -30c^2, -90cd\} \end{aligned} $$ ## Match terms with the given table options $$ \begin{aligned} \text{Given options:} &\quad 108c^2d, \ -90cd, \ -30c^2, \ 216d^3, \ 168c^2d, \ 56c^3 \ \text{Matching terms:} &\quad -90cd, \ -30c^2, \ 168c^2d, \ 56c^3 \end{aligned} $$ The terms that appear in the simplified polynomial representing the volume are: * $-90cd$ * $-30c^2$ * $168c^2d$ * $56c^3$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Terms" ] }

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Identify the volume polynomial from typical context

Match terms with the given table options

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