Question

List the potential rational zeros of the polynomial function. Do not find the zeros.f(x) = x5 - 3x2 + 3x + 14

Answer 1

$f(x) = x^5 - 3x^2 + 3x + 14\\\\14\to\{\pm1;\ \pm2;\ \pm7;\ \pm14\}\ and\ \left\{\pm\dfrac{1}{14};\ \pm\dfrac{1}{7}; \pm\dfrac{1}{2}\right\}$