7.6 advanced factoring methods quiz

which is the factorization of $x^2-10x+25$?

$(x-2)(x-5)$
$(x-5)^2$
$(x-25)^2$
$(x-10)(x+5)$

Question

7.6 advanced factoring methods quiz

which is the factorization of $x^2-10x+25$?

$(x-2)(x-5)$
$(x-5)^2$
$(x-25)^2$
$(x-10)(x+5)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Perfect Square Trinomials" ], "new_concepts": [], "current_concepts": [ "Factoring Polynomials", "Factoring Trinomials", "Perfect Square Trinomials" ] } ## Identify the trinomial structure Using the *Perfect Square Trinomials* knowledge point $$ x^2 - 10x + 25 = x^2 - 2(5)(x) + 5^2 $$ ## Apply the factoring formula Using the *Perfect Square Trinomials* knowledge point $$ a^2 - 2ab + b^2 = (a - b)^2 \implies (x - 5)^2 $$

(A) $(x-2)(x-5)$

(B) $(x-5)^2$

(C) $(x-25)^2$

(D) $(x-10)(x+5)$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Perfect Square Trinomials" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the trinomial structure

Apply the factoring formula

Answer: