List the potential rational zeros of the polynomial function. Do not find the zeros.
-$$f ( x ) = 6 x ^ { 4 } + 4 x ^ { 3 } - 3 x ^ { 2 } + 2$$
A) $\pm \frac { 1 } { 2 } , \pm \frac { 3 } { 2 } , \pm 1 , \pm 2 , \pm 3 , \pm 6$
B) $\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm 1 , \pm 2$
C) $\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm 1 , \pm 2$
D) $\pm \frac { 1 } { 6 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 2 } , \pm \frac { 2 } { 3 } , \pm 1 , \pm 2 , \pm 3$

Question

Quizplus · Accepted Answer

The potential rational zeros are given by the factors of the constant term (2) divided by the factors of the leading coefficient (6). The factors of 2 are ±1, ±2, and the factors of 6 are ±1, ±2, ±3, ±6. Thus, the potential rational zeros are ±1/6, ±1/3, ±1/2, ±2/3, ±1, ±2.

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

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