Re: help on hard maths question!!! i really need help espc GCSE year!
- From: Robert Low <mtx014@xxxxxxxxxxxxxx>
- Date: Fri, 23 Sep 2005 18:44:58 +0100
Brian Reay wrote:
"Robert Low" <mtx014@xxxxxxxxxxxxxx> wrote in messageBrian Reay wrote:Do you have a way to find non-integer roots via some other factorisation technique that is teachable at this level?Seems to get good results- it is methodical and (on a whiteboard but not usenet!) easy to teach.And how do they cope when the roots aren't integers?
No. My point (such as it is) is that factorisation is a rather artificial technique that only works in very carefully selected cases. Rather than labour such a special case, I'd prefer to get them to understand completing the square, and do factorisation once they're capable of solving the general problem.
And now that I think about it, I'd also put effort into making very sure that they realise that if the factors are (x+a) and (x+b), then the roots are -a and -b, not a and b.
But then, it's a long time since I taught anybody to solve a quadratic---mostly these days I complain about how they can't already do it :-/ .
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