which choice includes all of the solutions to $x^2 + 2x - 8 = 0$?

a. 0, 2
b. 2, -4
c. -2, 4
d. 2, 4

Question

which choice includes all of the solutions to $x^2 + 2x - 8 = 0$?

a. 0, 2
b. 2, -4
c. -2, 4
d. 2, 4

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Factoring Quadratics" ], "new_concepts": [], "current_concepts": [ "Factoring Quadratics", "Quadratic Formula Application" ] } ## Factor the quadratic equation $$ \begin{aligned} &x^2 + 2x - 8 = 0 \ &(x + 4)(x - 2) = 0 \end{aligned} $$ ## Solve for x $$ \begin{aligned} &x + 4 = 0 \implies x = -4 \ &x - 2 = 0 \implies x = 2 \end{aligned} $$ ## Identify the matching choice $$ x = 2, -4 $$

A. 0, 2

B. 2, -4

C. -2, 4

D. 2, 4

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Quadratics" ] }

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QUESTION IMAGE

Question

Explanation:

Factor the quadratic equation

Solve for x

Identify the matching choice

Answer: