Question

Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

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

Answer 1

All the factors of 18. Namely, 1,2,3,6,9,18.

Answer 2

+/- all those.

Answer 3

you need the positive and negative factors of the constant, 18 and call them p

e.g. \[\pm1, \pm2, \pm3, \pm 6, \pm9, \pm18\]

and all the factors of the leading coefficient -2 and call them q.

you can find them

then the possible rational zeros are p/q