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Questions tagged [roots]

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7
votes
6answers
334 views

How to make students understand/remember that $x^2 = a$ has two solutions?

I teach math in university, in France. This semester I have first-year bachelor students. I am becoming increasingly annoyed that they cannot remember the simple fact that $x^2 = a$ has two solutions ...
9
votes
7answers
218 views

How to show $(x - a)$ is a factor of a polynomial $p(x)$ if and only if $p(a) = 0$ (without division)

I am a graduate teaching assistant at a larger state university teaching a college algebra class. Today we begin our decent into polynomials and one of the facts we will soon get to is the connection ...
6
votes
3answers
437 views

The Way We Teach Square Roots

Recently I was watching this interview of Andrew Wiles where a secondary school teacher asked this question: How do you teach square roots? He doesn't answer the question so I'd like to ask it ...