find the degree of the polynomial.

\x^5 + 4x^6 + 2x + 4x^8 + 4\

the degree is $\square$. (type a whole number.)

Question

find the degree of the polynomial.

\x^5 + 4x^6 + 2x + 4x^8 + 4\

the degree is $\square$. (type a whole number.)

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 Polynomial" ], "new_concepts": [], "current_concepts": [ "Polynomial Functions", "Degree of Polynomial" ] } ## Identify the terms of the polynomial Using the *Degree of Polynomial* knowledge point $$ \text{Terms: } x^5,\ 4x^6,\ 2x,\ 4x^8,\ 4 $$ ## Determine the exponent of each term Using the *Degree of Polynomial* knowledge point $$ \begin{aligned} &\text{Term } x^5 \implies \text{exponent } 5\ &\text{Term } 4x^6 \implies \text{exponent } 6\ &\text{Term } 2x \implies \text{exponent } 1\ &\text{Term } 4x^8 \implies \text{exponent } 8\ &\text{Term } 4 \implies \text{exponent } 0 \end{aligned} $$ ## Find the maximum exponent Using the *Degree of Polynomial* knowledge point $$ \max(5, 6, 1, 8, 0) = 8 $$ Find the degree of the polynomial. $x^5 + 4x^6 + 2x + 4x^8 + 4$ The degree is 8 (Type a whole number.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Degree of Polynomial" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the terms of the polynomial

Determine the exponent of each term

Find the maximum exponent

Answer: