use the zero product property to find the solutions to the equation $x^2 - 13x + 30 = 0$

$x = -10$ or $x = -3$
$x = -10$ or $x = 3$
$x = -3$ or $x = 10$
$x = 3$ or $x = 10$

Question

use the zero product property to find the solutions to the equation $x^2 - 13x + 30 = 0$

$x = -10$ or $x = -3$
$x = -10$ or $x = 3$
$x = -3$ or $x = 10$
$x = 3$ or $x = 10$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Solving Quadratic Equations" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Zeros of Quadratic Functions" ] } ## Factor the quadratic expression $$ \begin{aligned} &x^2 - 13x + 30 = 0 \ &(x - 3)(x - 10) = 0 \end{aligned} $$ ## Apply the zero product property $$ \begin{aligned} &x - 3 = 0 \quad \text{or} \quad x - 10 = 0 \ &x = 3 \quad \text{or} \quad x = 10 \end{aligned} $$

$x = -10$ or $x = -3$

$x = -10$ or $x = 3$

$x = -3$ or $x = 10$

$x = 3$ or $x = 10$

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

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Question

Explanation:

Factor the quadratic expression

Apply the zero product property

Answer: