Electrical Engineering > GATE 2021 > Complex Numbers
Let p(z)=z3+(l+j)z2+(2+j)z+3 , where z is a complex number. Which one of the following is true?
A
conjugate {p(z)}=p(conjugate{z}) for all z
B
The sum of the roots of p(z)=0 is a real number
C
The complex roots of the equation p(z)=0 come in conjugate pairs
D
All the roots cannot be real

Correct : d

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complex polynomial electrical engineering gate GATE 2021 polynomial roots conjugate pairs complex number roots electrical gate polynomial equation GATE complex numbers

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