Problema Solution

List the potential rational zeros of the following function. Please explain.

f(x)=-2x^3+4x^2-3x+8

Answer provided by our tutors

Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has.

f(x)=-2x^3+4x^2-3x+8

There are 3 sign changes in the "positive" case. This number "3" is the maximum possible number of positive zeroes

f(-x)=2x^3+4x^2+3x+8

There are 0 sign changes in the "negative" case. There is no negative zeroes