Paper 4, Section I, EComplex AnalysisPart IB, 2013State Rouché's theorem. How many roots of the polynomial z8+3z7+6z2+1z^{8}+3 z^{7}+6 z^{2}+1z8+3z7+6z2+1 are contained in the annulus 1<∣z∣<21<|z|<21<∣z∣<2 ?