the polynomial $4x^5 - x^3 + 2x - 7$ has a degree of .

Question

the polynomial $4x^5 - x^3 + 2x - 7$ has a degree of  .

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Degree of Polynomials" ], "new_concepts": [], "current_concepts": [ "Degree of Polynomials", "Standard Form of Polynomials" ] } ## Identify the polynomial terms Using the *Degree of Polynomials* knowledge point $$ 4x^5, \quad -x^3, \quad 2x, \quad -7 $$ ## Determine the highest exponent Using the *Degree of Polynomials* knowledge point $$ \text{Exponents: } 5, 3, 1, 0 \implies \text{Maximum} = 5 $$ The polynomial $4x^5 - x^3 + 2x - 7$ has a degree of 5. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Degree of Polynomials" ] }

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Question

Explanation:

Identify the polynomial terms

Determine the highest exponent

Answer: