Give all possible rational zeros for the following polynomial
$P ( x ) = 5 x ^ { 3 } + 7 x ^ { 2 } + 2 x - 10$
A) $\pm 1 , \pm 2 , \pm 5 , \pm 10$
B) $\pm 1 , \pm \frac { 1 } { 5 } , \pm 2 , \pm 5 , \pm 10$
C) $\pm 1 , \pm \frac { 1 } { 2 } , \pm 5 , \pm \frac { 5 } { 2 } , \pm \frac { 1 } { 5 } , \pm \frac { 1 } { 10 }$
D) $\pm 1 , \pm \frac { 1 } { 5 } , \pm 2 , \pm \frac { 2 } { 5 } , \pm 5 , \pm 10$

Question

Quizplus · Accepted Answer

The possible rational zeros are given by the factors of the constant term (-10) divided by the factors of the leading coefficient (5). This results in the possible zeros: $\pm 1 , \pm \frac { 1 } { 5 } , \pm 2 , \pm \frac { 2 } { 5 } , \pm 5 , \pm 10$.

Give All Possible Rational Zeros for the Following Polynomial P(x)=5x3+7x2+2x−10P ( x ) = 5 x ^ { 3 } + 7 x ^ { 2 } + 2 x - 10P(x)=5x3+7x2+2x−10

Give All Possible Rational Zeros for the Following Polynomial $P ( x ) = 5 x ^ { 3 } + 7 x ^ { 2 } + 2 x - 10$