Question

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

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

Oh ok there ya go :D

Answer 6

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

Answer 7

Ha WolframAlpha rocks :D

Answer 8

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

Answer 9

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

Answer 10

Not any more, lol