Practice variation 1 of 3
Polynomial roots — Integer root then factor
Your question
Let .
(i) Show that .
(ii) Hence factor as a linear factor times a quadratic.
This practice question was inspired by Question 11(a) in the 2020 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?