Mathematics
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OpenStudy (anonymous):
\frac{4x^{3}+5x^{2}+3x}{x}
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OpenStudy (anonymous):
\[\dfrac{4x^{3}+5x^{2}+3x}{x}\]
OpenStudy (anonymous):
Divide each term by x and add.
OpenStudy (anonymous):
HOw do you divide by x?
OpenStudy (turingtest):
\[\frac{x^a}{x^b}=x^{a-b}\]and don't forget that\[x=x^1\]
OpenStudy (anonymous):
Substitute it as 1?
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OpenStudy (turingtest):
yup
OpenStudy (anonymous):
That makes it easier
OpenStudy (anonymous):
So, the answer will only have 1 exponent and it's 1?
OpenStudy (anonymous):
No, that's wrong..
OpenStudy (turingtest):
as eliassab said
"divide \(each\) term by x"
you can do that using the rule I gave you
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OpenStudy (anonymous):
I don't know what to do in problems like these where there is just an x.
OpenStudy (turingtest):
\[x=x^1\]so for example\[\frac{x^5}{x}=\frac{x^5}{x^1}=x^{5-1}=x^4\]
OpenStudy (anonymous):
If you subtract the exponents on the top it'd be 3-2
OpenStudy (turingtest):
but the exponent on the bottom is not a 2...
OpenStudy (anonymous):
it's just an x.
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OpenStudy (turingtest):
read my above posts\[x=x^1\]
OpenStudy (anonymous):
So I'd say 3-2 (-1)
OpenStudy (turingtest):
where did -2 come from?
OpenStudy (anonymous):
3-1 - 2
OpenStudy (anonymous):
3-1 = 2*
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OpenStudy (turingtest):
ah... much better :)
what about the other terms
OpenStudy (anonymous):
2-1 = 1.
OpenStudy (anonymous):
So, can 1 be an exponent or just leave it blank?
OpenStudy (anonymous):
and how would you divide 3x by x?
OpenStudy (turingtest):
those are the exponents
and yes, you don't have to write the "to the 1" part
the coefficients stay, only the x's are affected here
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OpenStudy (turingtest):
for instance\[\frac{5x^4}x=5x^3\]
OpenStudy (anonymous):
That's confusing me. It's just 3x / x.
OpenStudy (anonymous):
2x?
OpenStudy (anonymous):
Or does it stay the same?
OpenStudy (turingtest):
the coefficient does not change is all I'm saying
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OpenStudy (anonymous):
The answer would be 4x^2 + 5x + 3 correct?
OpenStudy (turingtest):
correct :)
OpenStudy (anonymous):
Could ya help with a couple more?
OpenStudy (anonymous):
Good Job! @careless850
OpenStudy (turingtest):
I'm sort of in an out here, and you are supposed to post each q separately, but I'll try to help when I have the chance
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OpenStudy (anonymous):
ok
OpenStudy (anonymous):
thanks @rebeccaskell94