Question

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

f(x) = 2x^3 + 8x^2 + 7x - 8

Answer 1

The RZT states that you can make a list of all POSSIBLE rational roots of a polynomial by looking at the first and last coefficient:

They are all of the form p/q, where p can be any of the dividers of the last coefficient (here: -8) and q can be any of the dividers of the first one, here: 2.

For a clear description of this, see:
http://www.mathwords.com/r/rational_root_theorem.htm