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Algebra 16 Online
OpenStudy (anonymous):

Find the quotient. PLEASE HELP!

OpenStudy (anonymous):

\[(-35x^5-5x)\div5x\]

OpenStudy (jhannybean):

\[\frac{-35x^5-5x}{5x}\]

OpenStudy (jhannybean):

In solving this, we can analyze the numerator and the denominator separately. In the numerator, we can pull out an LCM, which is \(5x\), since \(x\) is common in both terms, and \(5\) is the LCM between \(35\) and \(5\).

OpenStudy (jhannybean):

So this function becomes \[\frac{-5x(7x^4+1)}{5x}\]

OpenStudy (jhannybean):

Now we can simply cancel out the like terms in both the numerator and denominator, which is \(5x\). \[=-(7x^4+1)\]

OpenStudy (anonymous):

so that's the final answer? \[(7x^4+1)\]

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