Problema Solution

using descartes rule for sign changes, how many positive and negative real roots are available for 6x^(3)+25x^(2)-24x+5

Answer provided by our tutors

6x^(3)+25x^(2)-24x+5

There are two  sign changes in the "positive" case.

Hence there are two positive roots.

f(-x)= --6x^3+25x^2+24x+5.

There is only onr sign chnage in negative case.

Hence there is one negative root.

For the given equation there are two positive roots, one  negative root.