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  • 03-02-2017
  • Mathematics
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If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to u dived by v times x?

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Apocrophon
Apocrophon Apocrophon
  • 03-02-2017
What you do is set up the expression and then substitute:
[tex] \frac{u(x)}{v(x)*x}=\\\\
\frac{x^{5}-x^{4}+x^{2}}{(-x^{2})*x}\\\\
\frac{x^{2}*(x^{3}-x^{2}+1}{x^{2}*(-x)}\\\\
\frac{-x^{3}+x^{2}-1}{x} [/tex]
So your final expression is [tex] \frac{-x^{3}+x^{2}-1}{x}[/tex].
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