what is the factored form of $8x^2 + 12x$?

$4(4x^2 + 8x)$
$4x(2x + 3)$
$8x(x + 4)$
$8x(x^2 + 4)$

Question

what is the factored form of $8x^2 + 12x$?

$4(4x^2 + 8x)$
$4x(2x + 3)$
$8x(x + 4)$
$8x(x^2 + 4)$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor of Monomials", "Factoring Polynomials" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor of Monomials", "Factoring Polynomials" ] } ## Find the greatest common factor of the terms $$ \begin{aligned} &\text{Terms: } 8x^2, \quad 12x \ &\text{GCF of coefficients (8 and 12): } 4 \ &\text{GCF of variable parts } (x^2 \text{ and } x): x \ &\text{GCF of the terms: } 4x \end{aligned} $$ ## Factor out the greatest common factor $$ \begin{aligned} &8x^2 + 12x = 4x \cdot (2x) + 4x \cdot (3) \ &8x^2 + 12x = 4x(2x + 3) \end{aligned} $$

$4(4x^2 + 8x)$

$4x(2x + 3)$

$8x(x + 4)$

$8x(x^2 + 4)$

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

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QUESTION IMAGE

Question

Explanation:

Find the greatest common factor of the terms

Factor out the greatest common factor

Answer: