The Polynomial P(s)=4s^5+s^3+7s^2+3 is a -What degree and -What roots?

Question

anonymous · Answer

Well the degree is the highest power of s in this case its 5

anonymous · Answer

how are you supposed to find the roots?  graph perhaps or newton's method?

anonymous · Answer

give me a sec and I will try to find the roots using synthetic division.

anonymous · Answer

checked using wolframalpha and there is only one irrational root so don't bother

anonymous · Answer

Oh ok there ya go :D

anonymous · Answer

not sure how to do it without graphing or something.  you can check the possible rational zeros, which are 
$$\pm 1,\pm 3\pm \frac{1}{2}. \pm\frac{3}{2}, \pm\frac{1}{4},\pm\frac{3}{4}$$

anonymous · Answer

Ha WolframAlpha rocks :D

anonymous · Answer

but they don't work so don't bother!

anonymous · Answer

yeah especially for a fifth degree poly with 12 possible rational zeros.  you feel like checking?

anonymous · Answer

Not any more, lol