Problema Solution
For the following function:
f(x)=x^7+x^6+x^2+x+4
Find the maximum number of real zeros, and
Use Descartes's rule of signs to determine how many positive and how many negative zeros the function has. You do not need to find the zeros.
Please show all of your work
Answer provided by our tutors
f(x)=+x^7+x^6+x^2+x+4 Use Descartes's rule of signs to determine
There are no sign changes in the "positive" case. This number "0" is the maximum possible number of positive zeroes
f(-x)=-x^7+x^6+x^2-x+4
There are 3 sign changes in the "negative" case. This number "3" is the maximum possible number of negative zeroes