Question

How do you use the rational root theorem to find the roots of `F(x) = 4x^3 - 6x^2 + 9x + 10`?

Answer 1

You can't. The polynomial function has no rational zeros.

Explanation:

`F(x) = 4x^3 - 6x^2 + 9x + 10`

Possible rational zeros are:

`+-1, +-2, +-5, +-10, +-1/2, +-5/2, +-1/4, +-5/4`

None of these is a zero, therefore there are no rational zeros.