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Core Pure: complex numbers

Quick questions on Complex arithmetic and the Argand diagram: conjugates, division and conjugate-pair roots - OCR A-Level Further Maths A

3short 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 slips with i2i^2?
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Replace i2i^2 by −1-1 immediately when expanding; leaving i2i^2 in place causes errors.
What is q1?
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Find (2−3i)2(2 - 3i)^2 in the form a+bia + bi. [2 marks]
What is q2?
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A real quadratic has 3−2i3 - 2i as a root. Write the quadratic with real coefficients. [3 marks]

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