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Complex Numbers and Polynomials

Quick questions on Complex numbers and the Argand diagram explained: H2 Further Mathematics

4short 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 not multiplying by the conjugate to divide?
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A quotient needs the denominator rationalised by its conjugate to reach a+bia + bi form.
What is q1?
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Find the modulus and argument of z=−1−iz = -1 - i. [2 marks]
What is q2?
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Write z=4eiπ/2z = 4\mathrm{e}^{i\pi/2} in Cartesian form. [1 mark]
What is q3?
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Evaluate (2+i)(2−i)(2 + i)(2 - i). [1 mark]

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