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SAT® Math

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Difficult

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 \} $