SOLUTION: Consider g(x)=3x^3-2x^2+x+2 a)Tell the maximum number of real zeros that the function may have. Do not attempt to find the zeros: b)List the potential rational zeros.

Algebra ->  Rational-functions -> SOLUTION: Consider g(x)=3x^3-2x^2+x+2 a)Tell the maximum number of real zeros that the function may have. Do not attempt to find the zeros: b)List the potential rational zeros.      Log On


   

Question 1189493: Consider g(x)=3x^3-2x^2+x+2
a)Tell the maximum number of real zeros that the function may have.
Do not attempt to find the zeros:
b)List the potential rational zeros. Do not attempt to find the zeros.
c)Determine the real zeros of g and write g in factored form.
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

That function is not factorable.  I think you made a typo on the 
sign of the last term..

I think it should have been g(x)=3x^3-2x^2+x-2

Edwin

Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

This polynomial has no rational roots that can be found using Rational Root Test.