Quick questions on Factorising polynomials over the complex numbers (WACE Year 12 Mathematics Specialist Unit 3)

Q: What is sign error in the quadratic factor?

The pair a ib gives z^2 - 2az + (a^2 + b^2); the constant is a^2 + b^2, always positive.

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 the quadratic factor?

Show answer

The pair

a \pm ib

gives

z^2 - 2az + (a^2 + b^2)

; the constant is

a^2 + b^2

, always positive.

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