Question

List all possible rational zeros of...

Answer 1

\[f(x)=2x^4-2x^3-19x^2+91-35\]

I know what that answer is.. but is this different then finding the complex zeros?

Answer 2

Yes, you are only looking for a set of possibilities.
Possible rational zeros are of the form ±p/q, where p is a factor of the constant term, and q is a factor of the leading coefficient.

Answer 3

Complex zeros include rational real, irrational real, and imaginary zeros.
The rational root (rational zero) theorem only helps you find the rational ones.
In your example you take ± all the factors of 35 and divide them by all the factors of 2.
You can then test them to see if they make f(x)=0.

Answer 4

Ok. I understand :) Thanks bunches!!

Answer 5

You're welcome bunches!