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Complex numbers 2 — Question 3

QCAA 2025, Paper 1 · 1 mark

Q3 · 2025 · Technology-freeSimple familiar1 mark

QUESTION 3

The polynomial

P(z)=z^3+pz^2+qz+1

has complex conjugate roots when

(A)

p=1

and

q=1

(B)

p=1

and

q=i

(C)

p=i

and

q=1

(D)

p=i

and

q=i

ABCD

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