Friday

August 22, 2014

August 22, 2014

Posted by **John** on Friday, May 29, 2009 at 6:40pm.

x^7+2x^6+3x^5+4x^4+6x^3+6x^2+7x+8

divided by;

x^5-2x^4-3x^3+5x^2+2x-3

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)(x-1)^2, and (x^2-x-3) as factors along with an remainder ype thing of x^2+4x+14. This gives me

A/(x+1)+ B/(x-1)+ C/(x-1)^2+ Dx+E/(x^2-x-3)

I dont know if this is right, and need help from here.

Thanks

- pre-calc -
**Ms. Sue**, Friday, May 29, 2009 at 7:50pmBobpursley 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.

- pre-calc -
**jo**, Friday, May 29, 2009 at 8:37pmI dont understand how to convert the partial fractions into a system

- pre-calc -
**Reiny**, Friday, May 29, 2009 at 9:31pmJo 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)(x-1)^2(x^2-x-3)

= A/(x+1)+ B/(x-1)+ (Cx+D)/(x-1)^2+ (Ex+F)/(x^2-x-3)

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

**Related Questions**

*re-Calc - I am trying to get the polynomial; x^7+2x^6+3x^5+4x^4+6x^3+6x^2+7x+8 ...

Pre-Calc - How do I solve this via partial fraction decomposition? (x^2+9)/(x^4-...

PRE CALC - please help me solve this partial-fraction decomposition! 12x-57/(x-...

Pre-Calc - Please help me solve these two equations!! Divide and express as a ...

pre calc - write the form of the partial decomposition for the given rational ...

pre-calc - solve each system of equations using matrices x+2y-3z=0 2x-4y=z=-7 -...

Pre-Cal. - find all the zeros of the following polynomial. Write the polynomial ...

Pre-Calc - Fill in the blank; •In the process of polynomial division (Divisor)(...

Pre-Calculus - If you solve the following system of equations by substitution, ...

Algebra Question~! - Suppose you divide a polynomial by a binomial. How do you ...