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

\x^3 + 10x^2 + 24x\

Question

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

\x^3 + 10x^2 + 24x\

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 Polynomials by GCF", "Factoring Trinomials" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials by GCF", "Factoring Trinomials" ] } ## Factor out the greatest common factor Using the *Factoring Polynomials by GCF* knowledge point $$ x^3 + 10x^2 + 24x = x(x^2 + 10x + 24) $$ ## Factor the remaining trinomial Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &x^2 + 10x + 24 = (x + 4)(x + 6)\ &x^3 + 10x^2 + 24x = x(x + 4)(x + 6) \end{aligned} $$ Completely factor the given polynomial, if possible. If the polynomial cannot be factored, write NF for your answer. $x^3 + 10x^2 + 24x =$ $x(x + 4)(x + 6)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

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QUESTION IMAGE

Question

Explanation:

Factor out the greatest common factor

Factor the remaining trinomial

Answer: