select the correct answer.

what is the complete factorization of $x^2 - 6x + 9$?

$(x + 3)^2$

$(x + 1)(x - 9)$

$(x - 3)(x + 3)$

$(x - 3)^2$

Question

select the correct answer.

what is the complete factorization of $x^2 - 6x + 9$?

$(x + 3)^2$

$(x + 1)(x - 9)$

$(x - 3)(x + 3)$

$(x - 3)^2$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Factoring Trinomials", "Perfect Square Trinomials" ], "current_concepts": [ "Factoring Trinomials", "Perfect Square Trinomials" ] } ## Identify the expression to factor $$ x^2 - 6x + 9 $$ ## Find two numbers that multiply to 9 and add to -6 $$ \begin{aligned} (-3) \cdot (-3) &= 9 \ (-3) + (-3) &= -6 \end{aligned} $$ ## Write the factored form $$ (x - 3)(x - 3) = (x - 3)^2 $$

(A) $(x + 3)^2$

(B) $(x + 1)(x - 9)$

(C) $(x - 3)(x + 3)$

(D) $(x - 3)^2$

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

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QUESTION IMAGE

Question

Explanation:

Identify the expression to factor

Find two numbers that multiply to 9 and add to -6

Write the factored form

Answer: