Posted by John on Friday, May 29, 2009 at 6:40pm.
I am trying to get the polynomial;
x^7+2x^6+3x^5+4x^4+6x^3+6x^2+7x+8
divided by;
x^52x^43x^3+5x^2+2x3
into a partial fraction form so that I can create a system of equations to solve for. So far, after dividing I have
(x+1)(x1)^2, and (x^2x3) as factors along with an remainder ype thing of x^2+4x+14. This gives me
A/(x+1)+ B/(x1)+ C/(x1)^2+ Dx+E/(x^2x3)
I don't know if this is right, and need help from here.
Thanks

precalc  Ms. Sue, Friday, May 29, 2009 at 7:50pm
Bobpursley already answered your question. What is it that you do not understand about his answer?
Also  please don't keep posting the same question  even under different names.

precalc  jo, Friday, May 29, 2009 at 8:37pm
I don't understand how to convert the partial fractions into a system

precalc  Reiny, Friday, May 29, 2009 at 9:31pm
Jo or John
very messy problem
your denominator is factored correctly
your answer to your long division is indeed x^2 + 4x + 14 but you don't say what that remainder is, because it is the remainder that you have to work with.
so you are working with
remainder/[(x+1)(x1)^2(x^2x3)
= A/(x+1)+ B/(x1)+ (Cx+D)/(x1)^2+ (Ex+F)/(x^2x3)
notice I changed the numerators of your last two fractions, because they have a quadratic denominator.
I now want you to watch this video
(Broken Link Removed)
beginning at time 16:00 he starts a problem very similar to yours
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