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{ "quality": "blurry", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Degree", "Polynomial Addition Properties" ], "new_concepts": [], "current_concepts": [ "Polynomial Degree", "Polynomial Addition Properties", "Standard Form of Polynomials" ] } ## Determine the degree of the sum $$ \begin{aligned} &\text{deg}(R(a)) = 5 \ &\text{deg}(N(a)) = 2 \ &\text{deg}(R(a) + N(a)) = \max(\text{deg}(R(a)), \text{deg}(N(a))) = 5 \end{aligned} $$ ## Determine the maximum number of terms of the sum $$ \begin{aligned} &\text{Terms}(R(a)) = 4 \ &\text{Terms}(N(a)) = 3 \ &\text{Max Terms}(R(a) + N(a)) = 4 + 3 = 7 \end{aligned} $$ ## Question 1 The sum will be degree 5. ## Question 2 The maximum number of terms of the sum is 7, but it could be less. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Addition Properties" ] }

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Determine the degree of the sum

Determine the maximum number of terms of the sum

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Question 1

Question 2