2. expand: $(2x - 3)(x - 4)$

$2x^2 - x + 12$

$2x^2 - 11x - 12$

$2x^2 - 11x + 12$

$2x^2 + 12$

Question

2. expand: $(2x - 3)(x - 4)$

$2x^2 - x + 12$

$2x^2 - 11x - 12$

$2x^2 - 11x + 12$

$2x^2 + 12$

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 Multiplication", "Combining Like Terms" ], "new_concepts": [], "current_concepts": [ "Polynomial Multiplication", "Combining Like Terms" ] } ## Apply the distributive property Using the *Polynomial Multiplication* knowledge point $$ (2x - 3)(x - 4) = 2x(x - 4) - 3(x - 4) $$ ## Distribute each term Using the *Polynomial Multiplication* knowledge point $$ 2x(x - 4) - 3(x - 4) = 2x^2 - 8x - 3x + 12 $$ ## Combine the middle terms Using the *Combining Like Terms* knowledge point $$ 2x^2 - 8x - 3x + 12 = 2x^2 - 11x + 12 $$

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

(B) $2x^2 - 11x - 12$

(C) $2x^2 - 11x + 12$

(D) $2x^2 + 12$

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

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QUESTION IMAGE

Question

Explanation:

Apply the distributive property

Distribute each term

Combine the middle terms

Answer: