completely factor the given polynomial, if possible. if the polynomial cannot be factored, write nf for your answer.

\u^2 + u - 20\

Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, write nf for your answer.

\u^2 + u - 20\

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 $$ \begin{aligned} &u^2 + u - 20\ &a = 1,\quad b = 1,\quad c = -20 \end{aligned} $$ ## Find factors of the constant term Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &p \cdot q = -20\ &p + q = 1\ &p = 5,\quad q = -4 \end{aligned} $$ ## Write the factored form Using the *Factoring Trinomials* knowledge point $$ (u + 5)(u - 4) $$ $(u + 5)(u - 4)$ { "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: