document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509401>Question 509401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide\r<BR>\n" );
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document.write( "Dividing Polynomials<BR>\n" );
document.write( "1. (6x^2 – 31x + 5) ÷ (x -5)<BR>\n" );
document.write( "16. (x^3 + 2x^2 - 3x + 2)÷ (x - +1)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341435 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When doing these kinds of problems, always factor everything first! Then see if something cancels out.\r<BR>\n" );
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document.write( "6x^2 - 31x + 5 =  (6x+1)(x-5)\r<BR>\n" );
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document.write( "(6x-1)(x-5)<BR>\n" );
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document.write( "(x-5)\r<BR>\n" );
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document.write( "(x-5)s cancel out.\r<BR>\n" );
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document.write( "6x-1 is what you are left with. Be sure to state that x cannot equal 5.\r<BR>\n" );
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document.write( "For this one you'll have to long divide since the numerator is not factorable.\r<BR>\n" );
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document.write( "x-1 |  x^3 + 2x^2 -3x + 2\r<BR>\n" );
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document.write( "How many times does x go into x^3?\r<BR>\n" );
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document.write( "x^2 <---- Remember\r<BR>\n" );
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document.write( "So x^2(x-1) =  x^3 - x^2\r<BR>\n" );
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document.write( "x^3 + 2x^2 - 3x + 2  -(x^3 - x^2) =  x^2 -3x + 2\r<BR>\n" );
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document.write( "x-1 | 3x^2 -3x + 2\r<BR>\n" );
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document.write( "How many times does x go into 3x^2?\r<BR>\n" );
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document.write( "3x  <---- Remember\r<BR>\n" );
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document.write( "x(x-1) =  3x^2 -3x\r<BR>\n" );
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document.write( "3x^2 -3x + 2 - (3x^2 - 3x)\r<BR>\n" );
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document.write( "2\r<BR>\n" );
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document.write( "How many times does x-1 go into 2?  Doesn't make sense.\r<BR>\n" );
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document.write( "So we are left with a remainder of 2 or ... 2/x-1 <-- Remember\r<BR>\n" );
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document.write( "Putting it all together we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=expr%28x%5E2+%2B+3x+%2B++%282%2F%28x-1%29%29%29 ALIGN=MIDDLE  ALT=\"expr%28x%5E2+%2B+3x+%2B++%282%2F%28x-1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Be sure to state that x cannot equal 1.\r<BR>\n" );
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