Sunday

January 25, 2015

January 25, 2015

Posted by **Brianna** on Friday, December 31, 2010 at 12:55am.

- calculus -
**drwls**, Friday, December 31, 2010 at 3:19amI think you mean partial fractions. That is what this method was called when I went to school. First factor the denominator.

(5x+1)/(x^2-x-12) = (5x+1)/[(x-4)(x+3)]

This can be written as

A/(x-4) + B/(x+3) where A and B are certain constants. Here is how you can solve for A and B.

Require that

(5x+1)/[(x-4)(x+3)] = A/(x-4) + B/(x+3)

= [A(x+3) +B(x-4)]/[(x-4)(x+3)]

= (A+B)x +3A-4B

This will be true if A+B = 5 and 3A-4B = 1

4A+4B = 20

Solve for A and B

3A+3B = 15

3A-4B = 1

7B = 14

B = 2 A = 3

So the answer is

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

**Answer this Question**

**Related Questions**

decompose - decompose 5x+1/x^2-x-12 into partial functions?

computer SQL - Consider the universal table D = {P, Q, R, S, T, U, V, W, X, Y, Z...

calculus - Decompose 58-x/x^2-6x-16 into partial fractions.

Math- Partial Fractions - Decompose the following into partial fractions after ...

Algebra - Is this right? Decompose into partial fractions. (2x^2-24x+35)/(x^2+2x...

Chemistry - The decomposition of ehtane, C_2H_6, is a first-order reaction. It ...

Algebra 2 - What is the result when you decompose 2x^2-19x+50/(x+3)(x-2)^2 into ...

math - using method of partial fractions to decompose this 1/(x-3)(x+3) is 1/6(x...

Science help please - Use the word bank below to answer the questions that ...

Chemistry - How do you balance Al(OH)3 --> Al2O3 + H2O Why does the OH ...