select the correct answer.

what is the simplest form of this expression?

$(x + 7)(3x - 8)$

$\bigcirc$ $3x^2 + 2x - 15$
$\bigcirc$ $3x^2 + 29x - 1$
$\bigcirc$ $3x^2 - 29x - 56$
$\bigcirc$ $3x^2 + 13x - 56$

Question

select the correct answer.

what is the simplest form of this expression?

$(x + 7)(3x - 8)$

$\bigcirc$ $3x^2 + 2x - 15$
$\bigcirc$ $3x^2 + 29x - 1$
$\bigcirc$ $3x^2 - 29x - 56$
$\bigcirc$ $3x^2 + 13x - 56$

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": [ "Polynomial Multiplication", "FOIL Method" ], "current_concepts": [ "Polynomial Multiplication", "FOIL Method", "Combining Like Terms" ] } ## Expand the binomial product using the FOIL method $$ (x + 7)(3x - 8) = x(3x) + x(-8) + 7(3x) + 7(-8) $$ ## Multiply individual terms $$ (x + 7)(3x - 8) = 3x^2 - 8x + 21x - 56 $$ ## Combine like terms $$ 3x^2 + (-8x + 21x) - 56 = 3x^2 + 13x - 56 $$

(A) $3x^2 + 2x - 15$

(B) $3x^2 + 29x - 1$

(C) $3x^2 - 29x - 56$

(D) $3x^2 + 13x - 56$

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

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QUESTION IMAGE

Question

Explanation:

Expand the binomial product using the FOIL method

Multiply individual terms

Combine like terms

Answer: