what is the completely factored form of the expression $16x^2 + 8x + 32$?

$4(4x^2 + 2x + 8)$
$4(12x^2 + 4x + 28)$
$8(2x^2 + x + 4)$
$8x(8x^2 + x + 24)$

Question

what is the completely factored form of the expression $16x^2 + 8x + 32$?

$4(4x^2 + 2x + 8)$
$4(12x^2 + 4x + 28)$
$8(2x^2 + x + 4)$
$8x(8x^2 + x + 24)$

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", "Factoring Polynomials" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Factoring Polynomials" ] } ## Find the greatest common factor of the terms $$ \text{GCF}(16x^2, 8x, 32) = 8 $$ ## Factor out the greatest common factor $$ 16x^2 + 8x + 32 = 8(2x^2 + x + 4) $$

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

(B) $4(12x^2 + 4x + 28)$

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

(D) $8x(8x^2 + x + 24)$

{ "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: