factor the trinomial.

\5x^3y + 27x^2y^2 + 28xy^3\

Question

factor the trinomial.

\5x^3y + 27x^2y^2 + 28xy^3\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor", "Factoring Polynomials" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Factoring Polynomials" ] } ## Identify and extract the greatest common factor $$ \begin{aligned} &5x^3y + 27x^2y^2 + 28xy^3 = xy(5x^2 + 27xy + 28y^2) \end{aligned} $$ ## Factor the remaining quadratic trinomial $$ \begin{aligned} &5x^2 + 27xy + 28y^2 = (5x + 7y)(x + 4y) \end{aligned} $$ ## Combine factors for the final expression $$ \begin{aligned} &xy(5x + 7y)(x + 4y) \end{aligned} $$ Factor the trinomial. $$5x^3y + 27x^2y^2 + 28xy^3 =$$ $xy(5x + 7y)(x + 4y)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Polynomials" ] }

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QUESTION IMAGE

Question

Explanation:

Identify and extract the greatest common factor

Factor the remaining quadratic trinomial

Combine factors for the final expression

Answer: