posted by M .
find the bounds on the real zeros?????
f(x) = x^5 - 5x^4 +8x + 2
Check your notes for the technique of using synthetic division to find upper/lower bounds on roots.
If f(x)/(x-c) has all positive coefficients and c>0, c is an upper bound.
If f(x)/(x-c) has alternating coefficients and c<0, c is a lower bound
A little trial and error shows that
5 is an upper bound and -1 is a lower bound