Practice variation 2 of 3
Polynomial graphs — Opposite end behaviour trap
Your question
A monic quartic has a double zero at and is divisible by (no real zeros). Which graph feature is forced?
This practice question was inspired by Question 5 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?