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    How would you simplify this using long division:

    (x^3-8)/(3x^2-8x+4)
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    (Original post by ColeNate)
    How would you simplify this using long division:

    (x^3-8)/(3x^2-8x+4)
    Factor top and bottom - there's a common factor sitting in there, get rid of that first.
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    (Original post by Gregorius)
    Factor top and bottom - there's a common factor sitting in there, get rid of that first.
    Yeah that's what they have in the mark scheme - it's a C3 Solomon question.
    I was wondering if it's possible to do straight away with long division if I wasn't able to spot the factor?
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    (Original post by ColeNate)
    I was wondering if it's possible to do straight away with long division if I wasn't able to spot the factor?
    Well, yes. But it's harder work!
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    (Original post by Gregorius)
    Well, yes. But it's harder work!
    Ah, I must be doing my long division method wrong - it's not coming out the same!
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    (Original post by ColeNate)
    Ah, I must be doing my long division method wrong - it's not coming out the same!
    wadr to Gregorius, I don't think long division is going to do any good - unless I missed something.

    Simplify usually means cancel any common factors in this context.

    You could notice that the numerator is a difference of two cubes, which you should be familiar with. Hence (x-2) is a factor of the top. And if you plug in "2" into the denominator you get zero there, so (x-2) is also a factor there.

    PS: A more informative thread title would have been useful, together with a label of what level this is.
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    (Original post by ghostwalker)
    wadr to Gregorius, I don't think long division is going to do any good - unless I missed something.

    A more informative thread title would have been useful, together with a label of what level this is.
    Yes, agree with you; I was just crunching on autopilot.
 
 
 
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