Question

are there rational zeros for the polynomial f(x) = -x^4 - x + 5 ?

Answer 1

Using the Rational Roots Theorem, if there were any rational roots, they would have to be:
\[\pm 1, \pm 5\]

Answer 2

using synthtic division I'm not coming up with an zeros, so not sure what next step(s) to take

Answer 3

If you don't need the values, you could graph the function and see if there are intersection with the x-axis.

Answer 4

I did graph it on graphing calculator but need to know how those points were derived. grrr

Answer 5

thanks anyway.

Answer 6

Since plus minus 1 or 5 didnt work, that means that polynomial doesnt have an rational roots. They could be irrational or complex.