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

\x^2 - 6x + 8\

Question

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

\x^2 - 6x + 8\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Factoring Trinomials" ] } ## Identify the trinomial coefficients Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &x^2 - 6x + 8\ &a = 1,\quad b = -6,\quad c = 8 \end{aligned} $$ ## Find factors of the constant term Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &\text{Find } p, q \text{ such that } p \cdot q = 8 \text{ and } p + q = -6\ &(-2) \cdot (-4) = 8\ &(-2) + (-4) = -6 \end{aligned} $$ ## Write the factored expression Using the *Factoring Trinomials* knowledge point $$ (x - 2)(x - 4) $$ Factor the trinomial. If the trinomial cannot be factored, indicate "Not Factorable". $x^2 - 6x + 8 =$ $(x - 2)(x - 4)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "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: