which function is a quadratic function?

$d(x) = x - 8x^4$

$p(x) = -5x - x^2$

$k(x) = 2x^2 + 9x^4$

$c(x) = 6x + 3x^3$

Question

which function is a quadratic function?

$d(x) = x - 8x^4$

$p(x) = -5x - x^2$

$k(x) = 2x^2 + 9x^4$

$c(x) = 6x + 3x^3$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Quadratic Functions", "Polynomial Degree" ], "new_concepts": [], "current_concepts": [ "Quadratic Functions", "Polynomial Degree" ] } ## Identify the degree of each polynomial function $$ \begin{aligned} &\text{Degree of } d(x) = x - 8x^4 \text{ is } 4 \ &\text{Degree of } p(x) = -5x - x^2 \text{ is } 2 \ &\text{Degree of } k(x) = 2x^2 + 0x^4 = 2x^2 \text{ is } 2 \ &\text{Degree of } c(x) = 6x + 3x^3 \text{ is } 3 \end{aligned} $$ ## Determine which function is quadratic $$ \begin{aligned} &\text{A quadratic function is a polynomial of degree 2.} \ &p(x) = -5x - x^2 \text{ is a quadratic function.} \end{aligned} $$

(A) $d(x) = x - 8x^4$

(B) $p(x) = -5x - x^2$

(C) $k(x) = 2x^2 + 0x^4$

(D) $c(x) = 6x + 3x^3$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Quadratic Functions" ] }

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Question

Explanation:

Identify the degree of each polynomial function

Determine which function is quadratic

Answer: