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OpenStudy (anonymous):
what do you want to do with it?
OpenStudy (anonymous):
Simplify the rational expressions. State any excluded values. Show your work.
OpenStudy (anonymous):
that's a polynomial expression. A rational expression is a fraction
OpenStudy (anonymous):
Okay.
OpenStudy (anonymous):
Other then that, that's all i have for information
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OpenStudy (anonymous):
is that the exact way it's written? there's no numerator/denominator?
OpenStudy (anonymous):
2x/x^2+3x-10 sorry didn't include the division.
OpenStudy (anonymous):
like this?
\[\frac{ 2x }{ x^2+3x-10 }\]
OpenStudy (anonymous):
Yes like that
OpenStudy (anonymous):
Usually you'd factor like this and something will cancel from the numerator and denominator.
\[\frac{ 2x }{ (x+5)(x-2) }\]
Since nothing canceled, the original is already simplified.
For excluded values set the denominator equal to 0.
\[(x + 5)(x - 2) = 0\]
So you need to solve
\(x+5=0\) and
\(x-2=0\)
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OpenStudy (anonymous):
Alright. x+5-5=0-5 x= -5
X-2+2=0+2 = 2
OpenStudy (anonymous):
yes, so -5 and 2 are the excluded values
OpenStudy (anonymous):
Okay.
OpenStudy (anonymous):
So i'm finish @peachpi?
OpenStudy (anonymous):
yeah, unless they asked for something else
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