Find all the rational zeros of the function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 4$
A) $x = - 4,5 , - 5 , - \frac { 3 } { 4 }$
B) $x = 3 , - 20,5$
C) $x = 4,5 , - 5 , \frac { 4 } { 3 }$
D) $x = - \frac { 4 } { 5 } , \frac { 5 } { 3 } , \frac { 4 } { 3 } , - 5$
E) $\quad x = 3 , - 20 , \frac { 5 } { 3 } , \frac { 4 } { 3 }$ .

Question

Quizplus · Accepted Answer

The rational zeros of the polynomial are found using the Rational Root Theorem and synthetic division. The correct rational zeros are $x = 4, 5, -5, \frac{4}{3}$.

Find All the Rational Zeros of the Function f(x)=3x4−16x3−59x2+400x−4f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 4f(x)=3x4−16x3−59x2+400x−4

Find All the Rational Zeros of the Function $f ( x ) = 3 x ^ { 4 } - 16 x ^ { 3 } - 59 x ^ { 2 } + 400 x - 4$