List the potential rational zeros of the polynomial function. Do not find the zeros.
-$$f ( x ) = x ^ { 5 } - 5 x ^ { 2 } + 2 x + 7$$
A) $\pm 1 , \pm \frac { 1 } { 7 }$
B) $\pm 7 , \pm \frac { 1 } { 7 }$
C) $\pm \frac { 1 } { 5 } , \pm \frac { 7 } { 5 } , \pm 7$
D) $\pm 1 , \pm 7$

Question

Quizplus · Accepted Answer

The potential rational zeros are given by the factors of the constant term (7) over the factors of the leading coefficient (1), which are $\pm 1, \pm 7$.

List the Potential Rational Zeros of the Polynomial Function f(x)=x5−5x2+2x+7f ( x ) = x ^ { 5 } - 5 x ^ { 2 } + 2 x + 7f(x)=x5−5x2+2x+7

List the Potential Rational Zeros of the Polynomial Function $f ( x ) = x ^ { 5 } - 5 x ^ { 2 } + 2 x + 7$