rewrite the following polynomial in standard form.

\1 - 4x + \frac{x^5}{9} - x^4\

Question

rewrite the following polynomial in standard form.

\1 - 4x + \frac{x^5}{9} - x^4\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Standard Form" ], "new_concepts": [], "current_concepts": [ "Polynomial Standard Form", "Polynomial Terms" ] } ## Identify the terms and their degrees $$ \begin{aligned} &\text{Term 1: } 1 \quad (\text{degree } 0) \ &\text{Term 2: } -4x \quad (\text{degree } 1) \ &\text{Term 3: } \frac{x^5}{9} \quad (\text{degree } 5) \ &\text{Term 4: } -x^4 \quad (\text{degree } 4) \end{aligned} $$ ## Order the terms by degree in descending order $$ \text{Degrees: } 5 > 4 > 1 > 0 $$ $$ \text{Standard Form: } \frac{x^5}{9} - x^4 - 4x + 1 $$ Rewrite the following polynomial in standard form. $\frac{x^5}{9} - x^4 - 4x + 1$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Standard Form" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the terms and their degrees

Order the terms by degree in descending order

Answer: