Sunday

March 1, 2015

March 1, 2015

Posted by **Daniel** on Saturday, March 2, 2013 at 3:14am.

Just wanted to know why when I write out the form of the partial fraction decomposition

there is A/x + B/x^3 + C/ (x^2 + 4)

Why isn't it just A/x^3 + B/ (x^2 + 4)?

- calculus -
**Reiny**, Saturday, March 2, 2013 at 8:28amyour denominator is

5x^2 - 2x^3

= x^2(5-2x)

so you could have had 3 fractions,

A/x + B/x^2 + C/(5-2x)

that would have given you a LCD of x^2(5-2x)

or 5x^2 - 2x^3

I don't see how you got your choice or even the supposedly correct choice.

- calculus -
**Daniel**, Saturday, March 2, 2013 at 3:30pmSorry I typed out the wrong answer. Why would I have 3 fractions though? Because it's x^2?

- calculus -
**Reiny**, Saturday, March 2, 2013 at 3:47pmyes, the option I gave you was

A/x + B/x^2 + C/(5-2x)

of course it could have been only 2 fractions with

B/x^2 + C/(5-2x) , and the LCD would also have been

x^2(5-2x)

but we don't know that, so we have to take the worst-case scenario.

**Answer this Question**

**Related Questions**

Calc Help Please Again Last one! - Write out the form of the partial fraction ...

calculus - Write the form of the partial fraction decomposition of the function ...

Physics - we are supposed to manipulate the equation and the equation is d=(1/2)...

Calculus - Partial Integrals - I made this question, just wanted to make sure it...

Calculus - Verification - Hello, I just wanted to verify this definite integral ...

calc: arc length - Posted by COFFEE on Monday, June 11, 2007 at 11:48pm. find ...

maths - write down equations with integral coefficients having roots;(1/2,4). (x...

calc - d/dx integral from o to x of function cos(2*pi*x) du is first i do the ...

Calculus - Would someone clarify this for me... Is antiderivatives just another ...

calc: arc length - find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x...