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Multiple Choice 12.5 points Factor: 8a^3+4a^2+12 a(8a^3+4a+12) 4(2a^3+a^2+3) Cannot be Factored 4a(2a^2+a+3)

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Multiple Choice 12.5 points
Factor: 8a^3+4a^2+12
a(8a^3+4a+12)
4(2a^3+a^2+3)
Cannot be Factored
4a(2a^2+a+3)

Multiple Choice 12.5 points Factor: 8a^3+4a^2+12 a(8a^3+4a+12) 4(2a^3+a^2+3) Cannot be Factored 4a(2a^2+a+3)

Solución

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Gerardoprofessionell · Tutor durante 6 años
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To factor the expression $8a^{3}+4a^{2}+12$, we can first look for the greatest common factor (GCF) of the terms.<br /><br />The GCF of $8a^{3}$, $4a^{2}$, and $12$ is $4$.<br /><br />So, we can factor out $4$ from each term:<br /><br />$8a^{3}+4a^{2}+12 = 4(2a^{3}+a^{2}+3)$<br /><br />Therefore, the correct answer is: $4(2a^{3}+a^{2}+3)$.
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