Use Descartes's Rule of Signs to determine the possible number of negative real zeros for the given function.

$\displaystyle g(x)=-3x^7+x^5-x^2+4$

So far I have this:

$\displaystyle g(-x)=-3(-x)^7+1(-x)^5-1(x)^2+4$

$\displaystyle g(-x)=-3x^7-x^5-x^2+4$

1 negative real root.