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Practice variation 1 of 3

Polynomial graphs — Irreducible quadratic factor

Your question

A monic quartic is divisible by and has a double real zero at . Which statement is true?

It touches the -axis only at and both ends go to
It crosses at and both ends go to
It has four distinct real zeros
It is undefined at

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.

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