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

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

psymon · Answer

Well, the rational zeros theorem says that the "possible" real zeros of a function can be found by dividing all the factors of the constant term by all the factors of the leading coefficient, including positive and negative. So this is what it would look like:
$$\pm \frac{ 18, 9, 6, 3, 2, 1 }{ 2, 1 }$$
Any combination of that is a "possible" rational zero. So it looks like you have a lot of choices. But you would do that in order to list all of them.

anonymous · Answer

So I'd have, 18, 9, 9/2, 6, 3, 3/2, 2, 1/2, 1 ? @Psymon

psymon · Answer

And then don't forget +/- :3

anonymous · Answer

So just add a +/- sign in front of it all ?

psymon · Answer

Yep, pretty much. And those would be your answers.

anonymous · Answer

Thank youu (:

psymon · Answer

yep yep ^_^