question 6 (1 point)

identify the expressions that cannot be factored.

$4x^2 - 12x + 9$

$x^2 + 3x + 2$

$x^2 - 3x + 5$

$100 - x^2$

Question

question 6 (1 point)

identify the expressions that cannot be factored.

$4x^2 - 12x + 9$

$x^2 + 3x + 2$

$x^2 - 3x + 5$

$100 - x^2$

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": [ "Polynomial Factoring", "Difference of Squares" ], "new_concepts": [], "current_concepts": [ "Polynomial Factoring", "Difference of Squares", "Quadratic Relations" ] } ## Analyze the first expression Using the *Polynomial Factoring* knowledge point $$ 4x^2 - 12x + 9 = (2x - 3)^2 $$ ## Analyze the second expression Using the *Polynomial Factoring* knowledge point $$ x^2 + 3x + 2 = (x + 1)(x + 2) $$ ## Analyze the third expression Using the *Polynomial Factoring* knowledge point $$ \begin{aligned} &b^2 - 4ac = (-3)^2 - 4(1)(5) = 9 - 20 = -11 < 0\ &\text{No real factors exist.} \end{aligned} $$ ## Analyze the fourth expression Using the *Difference of Squares* knowledge point $$ 100 - x^2 = (10 - x)(10 + x) $$

(A) $4x^2 - 12x + 9$

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

(C) $x^2 - 3x + 5$

(D) $100 - x^2$

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

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QUESTION IMAGE

Question

Explanation:

Analyze the first expression

Analyze the second expression

Analyze the third expression

Analyze the fourth expression

Answer: