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# Solution Set for a Cubic Function

SATMAT-O1J1LE

$\cfrac { 8{ x }^{ 3 }+27 }{ x }$ is the product of $\cfrac { 2x+3 }{ x }$and the expression $A$.

What is the solution set for $f\left( x \right)=A$?

A

$\left\{ \cfrac { 3\pm 3i }{ 4 } \right\}$

B

$\left\{ 3 \right\}$

C

$\left\{ \cfrac { 3\pm 3i\sqrt { 3 } }{ 4 } \right\}$

D

$\left \{ -\cfrac { 3 }{ 2 } \right \}$