Question

List the potential rational zeros of the polynomial function. Do not find the zeros.

Answer 1

$f(x)=\boxed{1}x^5-3x^2+3x+\boxed{14}$

The potential rational zeros are divisors of 14:

$\pm1;\ \pm2;\ \pm7;\ \pm14$

and the quotient p/q where p is a divisor of 1, and q is a divisor of 14:

$\pm\dfrac{1}{2};\ \pm\dfrac{1}{7};\ \pm\dfrac{1}{14}$