question 5 · 1 point

factor $a^2 + 13a - 48$.

provide your answer below:

Question

question 5 · 1 point

factor $a^2 + 13a - 48$.

provide your answer below:

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Factoring Trinomials", "Trinomial Factorization" ] } ## Identify the trinomial coefficients Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &a^2 + 13a - 48\ &A = 1,\quad B = 13,\quad C = -48 \end{aligned} $$ ## Find factors of the constant term Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &\text{Find } p, q \text{ such that } p \cdot q = -48 \text{ and } p + q = 13\ &16 \cdot (-3) = -48\ &16 + (-3) = 13 \end{aligned} $$ ## Write the factored expression Using the *Factoring Trinomials* knowledge point $$ (a + 16)(a - 3) $$ $(a + 16)(a - 3)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the trinomial coefficients

Find factors of the constant term

Write the factored expression

Answer: