Expert: Richard J. Raridon - 1/29/2012

Question
30.List the possible rational roots of the following equation:
5x^4 + 9x^3 + 5x^2 + 2x + 4 = 0

31.List the possible rational roots of the following equation:

3x^4 + 5x^3 + 3x^2 - 7x + 9 = 0

Answer
One way to search for roots for these equations is to write it
f(x) = 5x^4+9x^3+5x^2+2x+4
Put in a value for x and calculate f(x).  If x is a root, f(x) = 0.  
For this equation, any positive value for x results in f(x) > 0.  
Also, any negative value for x results in f(x) > 0.  
Therefore, there are no real solutions.  
The same thing is true for the second equation.