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NSWMaths Extension 2Quick questions

Using Complex Numbers (MEX-N2)

Quick questions on Polynomials over the complex field in HSC Mathematics Extension 2: solving quadratics with complex coefficients, the conjugate root theorem, and complete factorisation

1short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is sign error in z22Rez+α2z^2 - 2\operatorname{Re} z + |\alpha|^2?
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The middle coefficient is minus twice the real part, and the constant is the squared modulus, not the modulus.

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