consider the following expression:
\-4x^2 - 8x + 6x^3\
step 2 of 2: determine the degree and the leading coefficient of the polynomial.
degree: , leading coefficient:

Question

consider the following expression:
\-4x^2 - 8x + 6x^3\
step 2 of 2: determine the degree and the leading coefficient of the polynomial.
degree:  , leading coefficient:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Degree", "Leading Coefficient" ], "new_concepts": [], "current_concepts": [ "Polynomial Degree", "Leading Coefficient" ] } ## Identify the terms and their degrees $$ \begin{aligned} &\text{Term 1: } -4x^2 \implies \text{degree } 2 \ &\text{Term 2: } -8x \implies \text{degree } 1 \ &\text{Term 3: } 6x^3 \implies \text{degree } 3 \end{aligned} $$ ## Determine the degree of the polynomial $$ \text{Degree} = \max(2, 1, 3) = 3 $$ ## Determine the leading coefficient $$ \begin{aligned} &\text{Leading term: } 6x^3 \ &\text{Leading coefficient} = 6 \end{aligned} $$ Consider the following expression: $$-4x^2 - 8x + 6x^3$$ Step 2 of 2 : Determine the degree and the leading coefficient of the polynomial. Degree: 3, Leading Coefficient: 6 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Degree" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the terms and their degrees

Determine the degree of the polynomial

Determine the leading coefficient

Answer: