factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\2x^2 + 14x + 24\

Question

factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\2x^2 + 14x + 24\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Factoring Polynomials by GCF", "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials by GCF", "Factoring Trinomials" ] } ## Factor out the greatest common factor Using the *Factoring Polynomials by GCF* knowledge point $$ 2x^2 + 14x + 24 = 2(x^2 + 7x + 12) $$ ## Factor the remaining trinomial Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &x^2 + 7x + 12 = (x + 3)(x + 4)\ &2x^2 + 14x + 24 = 2(x + 3)(x + 4) \end{aligned} $$ $2(x + 3)(x + 4)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Factor out the greatest common factor

Factor the remaining trinomial

Answer: