select the correct answer.

if the factors of a quadratic function are $(x + 2)$ and $(x - 9)$, what are the $x$-intercepts of the function?

$(-9,0)$ and $(-2,0)$
$(-9,0)$ and $(2,0)$
$(-2,0)$ and $(9,0)$
$(2,0)$ and $(9,0)$

Question

select the correct answer.

if the factors of a quadratic function are $(x + 2)$ and $(x - 9)$, what are the $x$-intercepts of the function?

$(-9,0)$ and $(-2,0)$
$(-9,0)$ and $(2,0)$
$(-2,0)$ and $(9,0)$
$(2,0)$ and $(9,0)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Zeros and Factors" ], "new_concepts": [], "current_concepts": [ "Zeros and Factors", "Parabola Key Features" ] } ## Set the quadratic function to zero using its factors $$ f(x) = a(x + 2)(x - 9) = 0 $$ ## Solve for the x-intercepts $$ \begin{aligned} x + 2 = 0 &\implies x = -2 \ x - 9 = 0 &\implies x = 9 \end{aligned} $$ ## Write the x-intercepts as coordinate points $$ (-2, 0) \quad \text{and} \quad (9, 0) $$

(-9,0) and (-2,0)

(-9,0) and (2,0)

(-2,0) and (9,0)

(2,0) and (9,0)

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Zeros and Factors" ] }

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QUESTION IMAGE

Question

Explanation:

Set the quadratic function to zero using its factors

Solve for the x-intercepts

Write the x-intercepts as coordinate points

Answer: