Question

Use the Rational Zero Theorem to list all possible rational zeros for the given function. f(x) = -2x3 + 4x2 - 2x + 8

Answer 1

rational zero theorem is all combinations of p(factors of the constant) divided by q(factors of the first coefficient)

factors of 8 are 1, 2, 4, 8
factors of 2 are 1, 2

so all possible rational zeros are all combinations of p/q

+/- 1/1, 1/2, 2/1, 2/2, 4/1, 4/2, 8/1, 8/2

Now there are some repeats in there so you have to leave those out and once we do that we get

+/- 1, 1/2, 2, 4, 8

Remember all those are plus OR minus