List the possible rational zeros of the function.
-$f ( x ) = 6 x ^ { 4 } + 3 x ^ { 3 } - 2 x ^ { 2 } + 2$
A) $\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm 1 , \pm 2 , \pm 3$
B) $\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2$
C) $\pm \frac { 1 } { 2 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6$
D) $\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm 1 , \pm 2$

Question

Quizplus · Accepted Answer

The possible rational zeros are determined by the factors of the constant term (2) over the factors of the leading coefficient (6).

List the Possible Rational Zeros of the Function f(x)=6x4+3x3−2x2+2f ( x ) = 6 x ^ { 4 } + 3 x ^ { 3 } - 2 x ^ { 2 } + 2f(x)=6x4+3x3−2x2+2

List the Possible Rational Zeros of the Function $f ( x ) = 6 x ^ { 4 } + 3 x ^ { 3 } - 2 x ^ { 2 } + 2$