use the zero product property to find the solutions to the equation $x^2 - 15x - 100 = 0$.

$x = -20$ or $x = 5$
$x = -20$ or $x = -5$
$x = -5$ or $x = 20$
$x = 5$ or $x = 20$

Question

use the zero product property to find the solutions to the equation $x^2 - 15x - 100 = 0$.

$x = -20$ or $x = 5$
$x = -20$ or $x = -5$
$x = -5$ or $x = 20$
$x = 5$ or $x = 20$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Polynomial Factoring" ], "new_concepts": [ "Zero Product Property" ], "current_concepts": [ "Polynomial Factoring", "Zero Product Property" ] } ## Factor the quadratic expression Using the *Polynomial Factoring* knowledge point $$ \begin{aligned} &x^2 - 15x - 100 = 0 \ &(x - 20)(x + 5) = 0 \end{aligned} $$ ## Apply the zero product property To solve the factored equation, set each linear factor equal to zero. $$ \begin{aligned} x - 20 = 0 \quad &\text{or} \quad x + 5 = 0 \ x = 20 \quad &\text{or} \quad x = -5 \end{aligned} $$

$x = -20$ or $x = 5$

$x = -20$ or $x = -5$

$x = -5$ or $x = 20$

$x = 5$ or $x = 20$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Zero Product Property" ] }

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QUESTION IMAGE

Question

Explanation:

Factor the quadratic expression

Apply the zero product property

Answer: