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

\x^2 + 3x - 28\

Question

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

\x^2 + 3x - 28\

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 $$ \begin{aligned} &x^2 + 3x - 28\ &a = 1,\quad b = 3,\quad c = -28 \end{aligned} $$ ## Find factors of the constant term Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &\text{Find } p, q \text{ such that } p \cdot q = -28 \text{ and } p + q = 3\ &7 \cdot (-4) = -28\ &7 + (-4) = 3 \end{aligned} $$ ## Write the factored form Using the *Factoring Trinomials* knowledge point $$ (x + 7)(x - 4) $$ Factor the given trinomial. If the trinomial cannot be factored, indicate "Not Factorable". $x^2 + 3x - 28 =$ $(x + 7)(x - 4)$ { "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 form

Answer: