Question

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. f(x) = -2x4 + 4x3 + 3x2 + 18

Answer 1

$f(x) = -2x^4 + 4x^3 + 3x^2 + 18$

$18:\{\pm1;\ \pm2;\ \pm3;\ \pm6;\ \pm9;\ \pm18\}\\2:\{\pm1;\ \pm2\}\\\\Answer:\boxed{\{\pm\frac{1}{2};\ \pm1;\ \pm\frac{3}{2};\ \pm2;\ \pm3;\ \pm\frac{9}{2};\ \pm6;\ \pm9;\ \pm18\}}$