Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Nanoman

  • one year ago

Partial fractions question: x^3 -------------------- x^2 + 36x + 324 I used polynomial long division on this, and got: x+ 36 + 972x + 1166 -------------- x^2 + 36x + 324 I've gotten to the point where the partial fraction is 972x + 1166 = Ax 18A + B. A = 972, but I can't find out what B is.

  • This Question is Closed
  1. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    What I get is\[x-36+\frac{972x+11664}{x^2+36x+324}\]

  2. Nanoman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ohhh....right. I had that down on paper but typed it wrong on here.

  3. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    |dw:1362057398152:dw|

  4. hartnn
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    to find out B, you can put x=0 in 972x + 1166 = Ax 18A + B. and you already know A , so you'll get B

  5. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[x-36+\frac{972x+11664}{x^2+36x+324} \\ \\\frac{972x+11664}{(x+18)^2}=\frac{A}{(x+18)}+\frac{B}{(x+18)^2}\]

  6. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    \[972x+11664=A(x+18)+B \\ \\ \] When x=-18 B=-5832 When x=0 18A-5832=11664 A=972 \[x-36+\frac{972x+11664}{x^2+36x+324} \\ \\\frac{972x+11664}{(x+18)^2}=\frac{972}{(x+18)}-\frac{5832}{(x+18)^2}\]

  7. Nanoman
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks Sam, I really appreciate it. I was trying to move the terms around to get the answer, but just plugging it in works well.

  8. .Sam.
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 4

    welcome :)

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.