Find all the rational zeros of the function $f ( x ) = - 2 x ^ { 5 } - 11 x ^ { 4 } - 19 x ^ { 3 } - 17 x ^ { 2 } - 17 x - 6$.
A) $x = \frac { 1 } { 2 } , - 3 , - 1$
B) $x = - \frac { 2 } { 3 } , 1 , - 2$
C) $x = - \frac { 1 } { 2 } , \frac { 3 } { 2 } , - 2$
D) $x = - \frac { 1 } { 2 } , \frac { 3 } { 2 }$
E) $\quad x = - \frac { 1 } { 2 } , - 3 , - 2$

Question

Quizplus · Accepted Answer

The rational zeros can be found using the Rational Root Theorem and testing possible candidates. The correct rational zeros are $x = - \frac { 1 } { 2 } , - 3 , - 2$.

Find All the Rational Zeros of the Function f(x)=−2x5−11x4−19x3−17x2−17x−6f ( x ) = - 2 x ^ { 5 } - 11 x ^ { 4 } - 19 x ^ { 3 } - 17 x ^ { 2 } - 17 x - 6f(x)=−2x5−11x4−19x3−17x2−17x−6

Find All the Rational Zeros of the Function $f ( x ) = - 2 x ^ { 5 } - 11 x ^ { 4 } - 19 x ^ { 3 } - 17 x ^ { 2 } - 17 x - 6$