Practice variation 2 of 3
Polynomial roots — Build a polynomial from roots
Your question
Find the monic cubic whose roots are , and .
This practice question was inspired by Question 14(e) in the 2025 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?