Posted by Daniel on Saturday, March 2, 2013 at 3:14am.
your 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.
Sorry I typed out the wrong answer. Why would I have 3 fractions though? Because it's x^2?
yes, 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.
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