← 2022 HSC Extension 1 paper Question 13(d)

Variation 3 · answer guide

Polynomial roots — From Vieta only

Question

If and , find .

This practice question was inspired by Question 13(d) in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.

Step by step

  1. State the final answer clearly in the form the question requested..

Common mistake: changing so many features that the new example no longer tests the same mathematical idea.

Verification: Without data the answer differs; shows both pieces of data are needed in the original.

Any mark labels are a TestMum study aid, not an official NESA marking allocation.

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