question 9 (2 points)

state the degree of the function and identify if it is linear or quadratic.

\m(x) = (x + 2)^2 - x^2\

degree 1, quadratic
degree 2, linear
degree 1, linear
degree 2, quadratic

Question

question 9 (2 points)

state the degree of the function and identify if it is linear or quadratic.

\m(x) = (x + 2)^2 - x^2\

degree 1, quadratic
degree 2, linear
degree 1, linear
degree 2, quadratic

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Linear Relations", "Quadratic Relations", "Polynomial Degree" ], "new_concepts": [], "current_concepts": [ "Linear Relations", "Quadratic Relations", "Polynomial Degree" ] } ## Expand the binomial expression $$ (x+2)^2 = x^2 + 4x + 4 $$ ## Simplify the function $$ \begin{aligned} m(x) &= (x^2 + 4x + 4) - x^2 \ m(x) &= 4x + 4 \end{aligned} $$ ## Determine degree and relation type $$ \begin{aligned} &\text{Degree} = 1 \ &\text{Type} = \text{linear} \end{aligned} $$

degree 1, quadratic

degree 2, linear

degree 1, linear

degree 2, quadratic

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Polynomial Degree" ] }

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Question

Explanation:

Expand the binomial expression

Simplify the function

Determine degree and relation type

Answer: