Create a segment of a recognizable tune consisting of 5-6 notes, possibly with spaces in between. Search web sources to find the frequencies of familiar music notes (for example the frequency of A4 is 440Hz, of A5 is 880Hz, of C5 is 523.25Hz).
Obtain the roots of the following polynomials:
i) p(s)=(s^8)+(2s^7)+(3s^6)+(5s^4)+(12s^3)+(7s)+(4)
ii) q(s)=(4s^6)+(15s^4)+(2s^3)+(8s^2)+(3s+1)