Give all possible rational zeros for the following polynomial.
-$$P ( x ) = - 2 x ^ { 4 } + 5 x ^ { 3 } + 4 x ^ { 2 } + 18$$
A) $\pm 1 , \pm 2 , \pm 3 , \pm 6 , \pm 9 , \pm 18$
B) $\pm 1 , \pm 2 , \pm \frac { 1 } { 2 } , \pm \frac { 1 } { 3 } , \pm \frac { 1 } { 6 } , \pm \frac { 1 } { 9 } , \pm \frac { 1 } { 18 }$
C) $\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm 6 , \pm 9 , \pm 18$
D) $\pm 1 , \pm \frac { 1 } { 2 } , \pm 2 , \pm 3 , \pm \frac { 3 } { 2 } , \pm 6 , \pm 9 , \pm \frac { 9 } { 2 } , \pm 18$

Question

Quizplus · Accepted Answer

The possible rational zeros are given by the factors of the constant term (18) divided by the factors of the leading coefficient (-2).

Give All Possible Rational Zeros for the Following Polynomial P(x)=−2x4+5x3+4x2+18P ( x ) = - 2 x ^ { 4 } + 5 x ^ { 3 } + 4 x ^ { 2 } + 18P(x)=−2x4+5x3+4x2+18

Give All Possible Rational Zeros for the Following Polynomial $P ( x ) = - 2 x ^ { 4 } + 5 x ^ { 3 } + 4 x ^ { 2 } + 18$