if the trinomial cannot be factored, indicate
ot factorable\.

\s^2 + 8s + 18\

Question

if the trinomial cannot be factored, indicate
ot factorable\.

\s^2 + 8s + 18\

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", "Quadratic Functions" ] } ## Identify the trinomial coefficients Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &s^2 + 8s + 18\ &a = 1,\quad b = 8,\quad c = 18 \end{aligned} $$ ## Find factor pairs of the constant term Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &\text{Factors of } 18:\ &1 \times 18 \implies 1 + 18 = 19\ &2 \times 9 \implies 2 + 9 = 11\ &3 \times 6 \implies 3 + 6 = 9 \end{aligned} $$ ## Determine factorability Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &\text{No integer factor pairs of } 18 \text{ sum to } 8.\ &\text{Therefore, the trinomial is not factorable over the integers.} \end{aligned} $$ Not Factorable { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the trinomial coefficients

Find factor pairs of the constant term

Determine factorability

Answer: