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Questions tagged [roots]

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2
votes
4answers
193 views

What is the standard for “simplifying your answer”?

Most problems require the student to simplify the final answer and in many context the meaning is obvious: For example, $3/9$ should be simplified to $1/3$ and $\sqrt{16}$ should be simplified to $4$. ...
10
votes
9answers
484 views

How to help 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
224 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
450 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 ...