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

\x^2 - 4x - 32\

Question

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

\x^2 - 4x - 32\

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" ] } ## Identify the trinomial coefficients Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &x^2 - 4x - 32\ &a = 1,\quad b = -4,\quad c = -32 \end{aligned} $$ ## Find factors of the constant term Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &\text{Find } p, q \text{ such that } p \cdot q = -32 \text{ and } p + q = -4\ &\text{Factors of } -32:\ &1 \cdot (-32) \implies 1 + (-32) = -31\ &2 \cdot (-16) \implies 2 + (-16) = -14\ &4 \cdot (-8) \implies 4 + (-8) = -4 \end{aligned} $$ ## Write the factored form Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &x^2 - 4x - 32 = (x + 4)(x - 8) \end{aligned} $$ $(x + 4)(x - 8)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Trinomials" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Identify the trinomial coefficients

Find factors of the constant term

Write the factored form

Answer: