7. let p be a polynomial in 1-complex variable. suppose all zeros of p are in the upper half plane h {z e cim(z)> 0 then im e) pz o for z er p) (a) re ip () 0 f

7. Let p be a polynomial in 1-complex variable. Suppose all zeros of p are in the upper half plane H {z e CIm(z)> 0 Then Im e) PZ o for z eR P) (a) Re iP () 0 for zeR p(z) (b) (c) mP >0 for zeC, with Imz <0 P(z) (c) Im P(z) P(z) (d) ImP 0 for z e with Imz>0 [Dec. 2015 (4.75 Marks)]