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OpenStudy (anonymous):
The Polynomial P(s)=4s^5+s^3+7s^2+3 is a -What degree and -What roots?
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OpenStudy (anonymous):
Well the degree is the highest power of s in this case its 5
OpenStudy (anonymous):
how are you supposed to find the roots? graph perhaps or newton's method?
OpenStudy (anonymous):
give me a sec and I will try to find the roots using synthetic division.
OpenStudy (anonymous):
checked using wolframalpha and there is only one irrational root so don't bother
OpenStudy (anonymous):
Oh ok there ya go :D
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OpenStudy (anonymous):
not sure how to do it without graphing or something. you can check the possible rational zeros, which are \[\pm 1,\pm 3\pm \frac{1}{2}. \pm\frac{3}{2}, \pm\frac{1}{4},\pm\frac{3}{4}\]
OpenStudy (anonymous):
Ha WolframAlpha rocks :D
OpenStudy (anonymous):
but they don't work so don't bother!
OpenStudy (anonymous):
yeah especially for a fifth degree poly with 12 possible rational zeros. you feel like checking?
OpenStudy (anonymous):
Not any more, lol
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