Question

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

Answer 1

degree is 4
let see if has any rational zeros
lets try -3
-3| 4 0 1 7 0 3
| -12 36 -111
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4 -12 37 -104 blah blah
-3 is not a solution
how about -4/3
-4/3| 4 0 1 7 0 3
| -3 4 -20/3 -3 4
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4 -3 5 1/3 -3 | 7

do you know newton's method?
i don't know how else to find roots

Answer 2

there are no ration zeros

Answer 3

rational*