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# C3 Remainder theorem watch

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2. Using the remainder theorem? Seems weird since doesn't actually have any real roots.

Anyway, the idea is that you have a quotient (which will be linear since your numerator is cubic and your denominator is quadratic) and a remainder, which will be of order 1 less than the denominator (so it'll also be linear).

This means that:

...where are constants to be found. What you have to do is multiply through by , expand brackets and compare coefficients.

[Edited for elaboration]
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4. (Original post by jimbobur)
I know. That's one of the aspects of this question that flummoxed me as I couldn't make the divisor equal to zero without saying 'let x^2=-1' which I tried but, as you can imagine, I ran into problems along the way
I've edited my post with what you need to do.
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Updated: September 24, 2010
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