document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=171940>Question 171940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x)\r<BR>\n" );
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document.write( "Please explain step by step\r<BR>\n" );
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document.write( "I would really appreciate any help\r<BR>\n" );
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document.write( "please help soon! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127031 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127031\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when P(x) us divided by 2x+1; the quotient is x^2 - x + 4 and the remainder is 3. Find P(x) \r<BR>\n" );
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document.write( "P(x)/(2x+1) = x^2-x+4 + 3/(2x+1)\r<BR>\n" );
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document.write( "Multiply thru by 2x+1 to get:\r<BR>\n" );
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document.write( "P(x) = (2x+1)(x^2-x+4) + 3\r<BR>\n" );
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document.write( "P(x) = 2x^3 -2x^2 + 8x + x^2 -x + 4 + 3\r<BR>\n" );
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document.write( "P(x) = 2x^3 -x^2 + 7x + 7\r<BR>\n" );
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document.write( "===================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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