Use the Rational Zero Test to list all possible rational zeros of the polynomial function $P ( x ) = 11 x ^ { 3 } - x ^ { 2 } + 8 x - 14$ .
A) $\pm 1 , \pm 11 , \pm 2 , \pm 7 , \pm 14$
B) $\pm 1 , \pm 11 , \pm \frac { 1 } { 14 } , \pm \frac { 11 } { 14 }$
C) $\pm 1 , \pm 11 , \pm \frac { 1 } { 2 } , \pm \frac { 11 } { 2 } , \pm \frac { 1 } { 7 } , \pm \frac { 11 } { 7 } , \pm \frac { 1 } { 14 } , \pm \frac { 11 } { 14 }$
D) $\pm 1 , \pm 14 , \pm \frac { 1 } { 11 } , \pm \frac { 14 } { 11 }$
E) $\pm 1 , \pm 2 , \pm 7 , \pm 14 , \pm \frac { 1 } { 11 } , \pm \frac { 2 } { 11 } , \pm \frac { 7 } { 11 } , \pm \frac { 14 } { 11 }$

Question

Quizplus · Accepted Answer

The Rational Zero Test states that possible rational zeros are the factors of the constant term (-14) divided by the factors of the leading coefficient (11).

Use the Rational Zero Test to List All Possible Rational P(x)=11x3−x2+8x−14P ( x ) = 11 x ^ { 3 } - x ^ { 2 } + 8 x - 14P(x)=11x3−x2+8x−14

Use the Rational Zero Test to List All Possible Rational $P ( x ) = 11 x ^ { 3 } - x ^ { 2 } + 8 x - 14$