# as further maths roots of polynomialWatch

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#1
I am struggling with 8d and e. Can someone help plz?
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#2
Help plz
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#3
Bump
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1 year ago
#4
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#5
Anyone done this before?
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1 year ago
#6
I did this in November/December I think, I haven't been able to do d yet but I just got e and it's correct according to the book.
What have you tried so far?
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1 year ago
#7
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#8
(Original post by ralph9694)
I did this in November/December I think, I haven't been able to do d yet but I just got e and it's correct according to the book.
What have you tried so far?
I got to (-3/4)^2- 6(4/3) but I got terms afterwards to get to the answer for the question that I can’t factorise. Can u show me method for e? I can’t work it out
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1 year ago
#9
for e I started out expanding and the comparing that to what is in the question
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#10
(Original post by ralph9694)
for e I started out expanding and the comparing that to what is in the question
Thanks I’ll try that out. Have u got anywhere with d?
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1 year ago
#11
I'm trying a similar thing, expanding another squared bracket, 6 terms in each, so it's taking a while.
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1 year ago
#12
(Original post by ralph9694)
for e I started out expanding and the comparing that to what is in the question
And do the same for
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#13
(Original post by blockingHD)
And do the same for [latex](\sum_\alpha\beta)^{2}[\latex]
That’s the bit where I am stuck. I worked all that out but I can’t factorise them into the values I know. Not all the algebra have the same letter.
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1 year ago
#14
with part e, after expanding the brackets, ignoring the terms, try taking out a common factor (one should jump out) of everything left over
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#15
(Original post by ralph9694)
with part e, after expanding the brackets, ignoring the terms, try taking out a common factor (one should jump out) of everything left over
Thanks I ve got the right answer for e now
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1 year ago
#16
I just got it for d using the same method
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#17
(Original post by ralph9694)
I just got it for d using the same method
What is the common factor? I can’t seem to find it
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1 year ago
#18
I think for d it's a bit harder, I initially saw the and put it aside as we are told what it's value is, but I realised it was useful to add 2 more of it if that makes sense, and then factorise from there.
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1 year ago
#19
(Original post by Janej77)
I am struggling with 8d and e. Can someone help plz?
For d, If you've covered the substitution method a much less tedious method for this question is to first write out the quartic polynomial in the form

Then find the polynomial with roots and by using substitution.

You'll only need to find the coefficient of in this polynomial since this will be equal to which is what you need.

And part e can be done in a similar way.

If you've covered the substitution method and want more help with this then let me know.
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1 year ago
#20
(Original post by Janej77)
How would I go on to find sum alpha ^2 beta ^2? I’ve learned substitution for linear transformation
Do you know how to find a polynomial with roots if you have the polynomial with roots ?

Then in this new polynomial the sum of the product of two roots i.e. is what the question is asking for.

So you need to find the coefficient of x^3 in this new polynomial.
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