let $f(x) = \frac{x^2}{(x + 2)(x - 6)}$. the following is the graph of $f(x)$.

a) what is the degree of the numerator of $f(x)$?

b) what is the degree of the denominator of $f(x)$?

Question

let $f(x) = \frac{x^2}{(x + 2)(x - 6)}$. the following is the graph of $f(x)$.

a) what is the degree of the numerator of $f(x)$?

b) what is the degree of the denominator of $f(x)$?

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Polynomial Degree" ], "new_concepts": [], "current_concepts": [ "Polynomial Degree", "Rational Function Analysis" ] } ## Identify the numerator and its degree $$ \begin{aligned} &\text{Numerator: } P(x) = x^2\ &\text{Degree of } P(x) = 2 \end{aligned} $$ ## Identify the denominator and its degree $$ \begin{aligned} &\text{Denominator: } Q(x) = (x + 2)(x - 6) = x^2 - 4x - 12\ &\text{Degree of } Q(x) = 2 \end{aligned} $$ ## Question a The degree of the numerator of $f(x)$ is 2. ## Question b The degree of the denominator of $f(x)$ is 2. { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Degree" ] }

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Question

Explanation:

Identify the numerator and its degree

Identify the denominator and its degree

Answer:

Question a

Question b