Let the degrees of the polynomials P(z) a0 a1z a2z2 middot middot middot anzn (an 0) And Q(z) b0 b1z b2z2 middot middot middot bmzm (bm 0) Be such that m yen n 2 Use the theorem in Sec 71 to show that if all of the zeros of Q(z) are interior to a simple closed contour C, then IP(2) dz 0 c 0(z)...

We are given two polynomials Pz a 0 a 1 z a 2 z 2 a n z n a n 0 And Qz b 0 b 1 z ...

Let the degrees of the polynomials P(z) = a0 + a1z + a2z2 +· · ·+ anzn

Question:

Let the degrees of the polynomials
P(z) = a0 + a1z + a2z2 +· · ·+ anzn (an ‰ 0)
And
Q(z) = b0 + b1z + b2z2 +· · ·+ bmzm (bm ‰ 0)
Be such that m ‰¥ n + 2. Use the theorem in Sec. 71 to show that if all of the zeros of Q(z) are interior to a simple closed contour C, then