completely factor the polynomial, if possible.

\4 - 9x^2\

Question

completely factor the polynomial, if possible.

\4 - 9x^2\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Difference of Squares", "Factoring Polynomials" ] } ## Identify the structure of the polynomial Using the *Difference of Squares* knowledge point $$ 4 - 9x^2 $$ ## Rewrite terms as perfect squares Using the *Difference of Squares* knowledge point $$ \begin{aligned} 4 &= 2^2 \ 9x^2 &= (3x)^2 \end{aligned} $$ ## Apply the factoring formula Using the *Difference of Squares* knowledge point $$ \begin{aligned} a^2 - b^2 &= (a - b)(a + b) \ 2^2 - (3x)^2 &= (2 - 3x)(2 + 3x) \end{aligned} $$ $(2 - 3x)(2 + 3x)$ { "subject": "Mathematics", "question_type": "Free Response", "knowledge_point": [ "Mathematics", "Algebra", "Difference of Squares" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the structure of the polynomial

Rewrite terms as perfect squares

Apply the factoring formula

Answer: