completely factor the polynomial, if possible.

\25 + 10x + x^2\

Question

completely factor the polynomial, if possible.

\25 + 10x + x^2\

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", "Square of a Binomial Sum" ], "new_concepts": [], "current_concepts": [ "Factoring Trinomials", "Square of a Binomial Sum" ] } ## Identify the polynomial structure Using the *Factoring Trinomials* knowledge point $$ 25 + 10x + x^2 = x^2 + 10x + 25 $$ ## Apply the perfect square trinomial pattern Using the *Square of a Binomial Sum* knowledge point $$ \begin{aligned} &a^2 + 2ab + b^2 = (a + b)^2\ &x^2 + 2(5)(x) + 5^2 = (x + 5)^2 \end{aligned} $$ $(x + 5)^2$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the polynomial structure

Apply the perfect square trinomial pattern

Answer: