completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\25 + 16x^2\

Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, indicate
ot factorable\.

\25 + 16x^2\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Sum of Squares" ], "new_concepts": [], "current_concepts": [ "Sum of Squares", "Factoring Polynomials" ] } ## Identify the given expression Using the *Sum of Squares* knowledge point $$ 25 + 16x^2 $$ ## Analyze factorability over the real numbers Using the *Sum of Squares* knowledge point $$ \begin{aligned} &25 = 5^2 \ &16x^2 = (4x)^2 \ &a^2 + b^2 \text{ is prime over the real numbers} \end{aligned} $$ Not Factorable { "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Sum of Squares" ] }

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Question

Explanation:

Identify the given expression

Analyze factorability over the real numbers

Answer: