2021HSCMultiple choice

Q6

1 mark

Question

Which polynomial could have $2+i$ as a zero, given that $k$ is real?

A. $x^3-4x^2+kx$
B. $x^3-4x^2+kx+5$
C. $x^3-5x^2+kx$
D. $x^3-5x^2+kx+5$

Try the question before revealing the answer.

Syllabus alignment

Complex Numbers

Solving equations with complex numbersUse De Moivre's theorem and solve equations and polynomial problems involving complex and conjugate roots.

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