SOLUTION: I need help with this problem. Use Descartes' rule of signs to determine the possible numbers of: a) Positive real roots of {{{x^4 + x^3 - 3x^2 + x + 2 = 0}}} b) Negative real ro

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I need help with this problem. Use Descartes' rule of signs to determine the possible numbers of: a) Positive real roots of {{{x^4 + x^3 - 3x^2 + x + 2 = 0}}} b) Negative real ro      Log On


   

Question 982722: I need help with this problem. Use Descartes' rule of signs to determine the possible numbers of:
a) Positive real roots of x%5E4+%2B+x%5E3+-+3x%5E2+%2B+x+%2B+2+=+0
b) Negative real roots of x%5E4+%2B+x%5E3+-+3x%5E2+%2B+x+%2B+2+=+0
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Positive case: Two sign changes, so either two positive real roots or zero positive real roots.

Negative case:

which is to say:



Again, two sign changes so there are either two negative real roots or zero negative real roots.

John

My calculator said it, I believe it, that settles it