Math grade 12

posted by .

write the partial fraction decomposition of the following rational expression ( hint: binomial expansion with Pascal triangle can be used to expand binomials. technology may be used to solve large systems using matrices or determinants)

4
------------------------------------- x^3(x-3)(x+2)(x-1)^2(x^2+1)^2(x^2-1)^3

  • check typing - Math grade 12 -

    Look how your expression turned out.

    Use brackets and such symbols as / for division to type your expression.

  • Math grade 12 -

    this better?

    write the partial fraction
    decomposition of the following rational expression ( hint: binomial expansion with Pascal triangle can be used to expand binomials. technology may be used to solve large systems using matrices or determinants)

    4/x^3(x-3)(x+2)(x-1)^2(x^2+1)^2(x^2-1)^3

  • Math grade 12 -

    Can anyone please help me?

  • Math grade 12 -

    Are you serious?
    Is this an actual question from a textbook?

    Even Wolfram had a hemorrhage trying to do that one
    Look at the "partial fraction expansion"
    http://www.wolframalpha.com/input/?i=4%2F%28x%5E3%28x-3%29%28x%2B2%29%28x-1%29%5E2%28x%5E2%2B1%29%5E2%28x%5E2-1%29%5E3%29

  • Math grade 12 -

    Yes I am very serious. My math teacher must be playing a sick joke with us. He said it would hurt our brain. I guess he just wants us to know that there are such problems as this one that exists. thank you for your help though :)

  • Math grade 12 -

    Do you realize the number of cases you can have
    e.g.
    A/x + B/x^2 + C/x^3 + D/(x-3) + E/(x+2) + F(x^2+1) + G/(x^2+1)^2 + ........

    and we should not forget such fractions as
    ?/(x(x^2+1)) or ?/(x(x-3)(x+2)(x^2-1)^3 )

    can you see the absurdity of this question?

    There would be 12 different factors, which would make 2^12 - 1 or 4095 subsets

  • Math grade 12 -

    I see what you're saying. Thank you very much. there is no way to do this with binomial expansion though with the pascal triangle or it's still impoosibly long?

  • Math grade 12 -

    10b-b+1

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Partial Decompostion Fractions

    Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2
  2. Algebra-Partial Fractions

    Can you please help me with the following questions please, I don't understand them. I know the general rule about them. Write the partial fraction decomposition of the rational expression. (x^2+4x-1)/(x^2+3)^2 (4x^3+4x^2)/(x^2+5)^2
  3. Calculus

    Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants: 4x + 1/(x + 6)(x - 5) I came up with A/x + 6 + B/x - 5
  4. Math

    Use Pascal's triangle to expand (a+b)^6 and hence find the binomial expansion of: (x-3)^6
  5. precalc

    Write the partial fraction decomposition of the rational expression. 6x^2+1/x^2(x-1)^2
  6. Precalc

    1) expand (1+3x)^4 using the Binomial Theorem. 2) Use Pascal's Triangle to expand(x+2)^5 3)What is the third term of (a+b)^11?
  7. Math

    Write the partial fraction decomposition of the rational expression. (80-14x)/(x^3 -8x^2 +16x)
  8. Math

    Write out the partial fraction decomposition of the following rational expression. 3x^2-7x-2/x^3-x
  9. Math

    Write out the partial fraction decomposition of the following rational expression. 1.) 3x^2-7x-2/x^3-x 2.) x^3-x+3/x^2+x-2
  10. precalculus

    please check my answers 1.Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6 answer:2x+4y+z=-4 8y-5z=-17 z=1 2.Find the solution to the system of equations given …

More Similar Questions