Determine how many zeroes, counting multiplicity, the polynomial \[ p(x)=z^5-6z^4+z^3+2z-1 \] has in the unit disc \(U=\{z\in \mathbb C: |z|<1\}\). Prove that your answer is correct.
Question
Math 6210 • Real Analysis
2003 • Question 9
Question
2003 • Question 9
Determine how many zeroes, counting multiplicity, the polynomial \[ p(x)=z^5-6z^4+z^3+2z-1 \] has in the unit disc \(U=\{z\in \mathbb C: |z|<1\}\). Prove that your answer is correct.