Use the rational zeros theorem to determine the potential rational zeros of the polynomial function. Do not find the zeros.
-$$f ( x ) = 7 x ^ { 5 } - 5 x ^ { 2 } + 3 x - 1$$
A) $\pm 1 , \pm 7 , \pm \frac { 1 } { 7 }$
B) $\pm 1 , \pm \frac { 1 } { 7 }$
C) $\pm 7 , \pm \frac { 1 } { 7 }$
D) $\pm 1 , \pm 7$

Question

Quizplus · Accepted Answer

The rational zeros theorem states that the potential rational zeros are the factors of the constant term (-1) divided by the factors of the leading coefficient (7), which are $\pm 1$ and $\pm \frac{1}{7}$.

Use the Rational Zeros Theorem to Determine the Potential Rational f(x)=7x5−5x2+3x−1f ( x ) = 7 x ^ { 5 } - 5 x ^ { 2 } + 3 x - 1f(x)=7x5−5x2+3x−1

Use the Rational Zeros Theorem to Determine the Potential Rational $f ( x ) = 7 x ^ { 5 } - 5 x ^ { 2 } + 3 x - 1$