completely factor the given polynomial, if possible. if the polynomial cannot be factored, type
f\ in the answer box.

\49x^2 - 4\

Question

completely factor the given polynomial, if possible. if the polynomial cannot be factored, type
f\ in the answer box.

\49x^2 - 4\

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Difference of Squares", "Factoring Polynomials by GCF" ], "new_concepts": [], "current_concepts": [ "Difference of Squares", "Factoring Polynomials by GCF" ] } ## Identify the structure of the polynomial Using the *Factoring Polynomials by GCF* knowledge point $$ \text{GCF}(49x^2, 4) = 1 $$ ## Apply the difference of squares formula Using the *Difference of Squares* knowledge point $$ \begin{aligned} 49x^2 - 4 &= (7x)^2 - (2)^2 \ &= (7x - 2)(7x + 2) \end{aligned} $$ Completely factor the given polynomial, if possible. If the polynomial cannot be factored, type "NF" in the answer box. $49x^2 - 4 =$ $(7x - 2)(7x + 2)$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Difference of Squares" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the structure of the polynomial

Apply the difference of squares formula

Answer: