document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201265>Question 201265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you divide a Polynomial by a Monomial? Could you please explain step-by-step how it works?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151469 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(x)=a_0x^n+a_1x^{n-1}+\cdots+a_{n-1}x^1+a_nx^0\"> represent your polynomial.  Let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large g(x) = bx^m\"> represent your monomial.\r<BR>\n" );
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document.write( "Then you are concerned with finding the quotient <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{f(x)}{g(x)}\"> \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{a_0x^n+a_1x^{n-1}+\cdots+a_{n-1}x^1+a_nx^0}{bx^m}\">\r<BR>\n" );
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document.write( "Break it up in to separate fractions, one per term of the numerator polynomial.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{a_0x^n}{bx^m}+\frac{a_1x^{n-1}}{bx^m}+\cdots+\frac{a_{n-1}x^1}{bx^m}+\frac{a_nx^0}{bx^m}\">\r<BR>\n" );
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document.write( "Then simplify each term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{a_0}{b}x^{\small{n-m}}+\frac{a_1}{b}x^{n-1-m}+\cdots+\frac{a_{n-1}}{b}x^{1-m}+\frac{a_n}{b}x^{-m}\">\r<BR>\n" );
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document.write( "Example:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5x^5 + 6x^3 -20}{2x}\">\r<BR>\n" );
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document.write( "Divide each term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5x^5}{2x}+\frac{6x^3}{2x}-\frac{20}{2x}\">\r<BR>\n" );
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document.write( "Simplify each term:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{5}{2}x^4 + 3x^2 - \frac{10}{x}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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