Homework Help: pre calc

Posted by esora on Thursday, May 12, 2011 at 2:22am.

write the form of the partial decomposition for the given rational expression. Don't solve for constants:

8x+10/x^2+7x-18

please show work!

pre calc - Reiny, Thursday, May 12, 2011 at 7:24am
I am pretty sure you meant:

(8x+10)/(x^2 + 7x - 18)
= (8x+10)/((x+9)(x-2))

let This be
A/(x+9) + B(x-2)
= ( A(x-2) + B(x+9) )/( (x+9)(x-2) )

so ...

A(x-2) + B(x+9) = 8x + 10

sub in A = 2, and B=-9 to find the constanst

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