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    'lo all

    Got a checklist here for Imperial mathematics which shows me the basic techniques I should know when I arrive. There's a section A - stuff which I apparently should already know with just single maths - and a section B - stuff which I should know if I've done further mathematics.

    I have completed the Edexcel specification up to Pure 6 and was just checking if this covers all that they wanted from section A and B. However, there are two parts which I do not remember doing. So I was wondering if anyone could confirm if these are found in the Edexcel Heinemann Pure 1-6 text books. If anyone else has the checklist too, it’s the bits in bold.

    1) Sum of series: arithmetic and geometric progressions summed to n terms; sum of geometric series; exponential series

    14) Sum and product of the roots of a quadratic equation
    I'm not even sure if that means sum of exponential series or just "exponential series"!?

    So should I have covered those two bold bits in the Edexcel Heinemann Pure 1-6 course?

    Thanks
    All the best
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    If exponential series are power series, then you should've met them in Edexcel P6: Taylor and Maclaurin series.

    As for #14, it's basically:
    Let the roots of the quadratic equation x^2+ax+b be s and t. Then s+t=-a and s.t=b. To prove this, you know that: (x-s)(x-t)=x^2+ax+b. So just equate coefficients. The same follows for cubic, quartic, etc. equations. I think this is properly introduced in MEI P5.
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    (Original post by dvs)
    As for #14, it's basically:
    Let the roots of the quadratic equation x^2+ax+b be s and t. Then s+t=-a and s.t=b. To prove this, you know that: (x-s)(x-t)=x^2+ax+b. So just equate coefficients. The same follows for cubic, quartic, etc. equations. I think this is properly introduced in MEI P5.
    just expanding on this...

    really you should consider ax^2+bx+c, not x^2+ax+b :santaclau

    let the roots = s & t

    (x - s)(x - t) = 0
    x^2 - x(s+t) + st = 0

    ax^2 + bx + c = 0

    so

    x^2 + (b/a)x + c/a = 0

    so

    s + t = -b/a

    st = c/a

    introduced on page 150 of my big red book. woohoo.
 
 
 
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