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Does Edexcel Pure 1-6 cover this? watch

1. '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
2. 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.
3. (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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