Find the zeros (if any) of the rational function.
$f ( x ) = \frac { x ^ { 3 } - 2,744 } { x ^ { 2 } + 64 }$
A)2,744
B)-2,744
C)-14
D) 14
E)-8

Name: Find the zeros (if any) of the rational function. $f ( x ) = \frac { x ^ { 3 } - 2,744 } { x ^ { 2 } + 64 }$ A)2,744 B)-2,744 C)-14 D) 14 E)-8
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Question

Find the zeros (if any) of the rational function. 
 $f ( x ) = \frac { x ^ { 3 } - 2,744 } { x ^ { 2 } + 64 }$  
A)2,744
B)-2,744
C)-14
D) 14
E)-8

Quizplus · Accepted Answer

The zeros of a rational function occur when the numerator is zero. The numerator $x^3 - 2,744$ is zero when $x^3 = 2,744$. Solving for $x$, we find $x = \sqrt[3]{2,744} = 14$.

Find the Zeros (If Any) of the Rational Function f(x)=x3−2,744x2+64f ( x ) = \frac { x ^ { 3 } - 2,744 } { x ^ { 2 } + 64 }f(x)=x2+64x3−2,744​

Find the Zeros (If Any) of the Rational Function $f ( x ) = \frac { x ^ { 3 } - 2,744 } { x ^ { 2 } + 64 }$