document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292844>Question 292844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide.\r<BR>\n" );
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document.write( "(10x^2 + 13x - 3) ÷ (5x - 1)<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 #211466 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Divide.\r<BR>\n" );
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document.write( "(10x^2 + 13x - 3) ÷ (5x - 1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%5E2+%2B+13x+-+3%29%2F%285x+-+1%29 ALIGN=MIDDLE  ALT=\"%2810x%5E2+%2B+13x+-+3%29%2F%285x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We first need to get the factors of the trinomial in the numerator. Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2+%2B+13x+-+3 ALIGN=MIDDLE  ALT=\"10x%5E2+%2B+13x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E2+%2B+15x+-+2x+-+3 ALIGN=MIDDLE  ALT=\"10x%5E2+%2B+15x+-+2x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then becomes: 5x(2x + 3) - 1(2x + 3), or (5x - 1)(2x + 3).\r<BR>\n" );
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document.write( "We will then have: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x+-+1%29%282x+%2B+3%29%2F%285x+-+1%29 ALIGN=MIDDLE  ALT=\"%285x+-+1%29%282x+%2B+3%29%2F%285x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%28%285x+-+1%29%29%282x+%2B+3%29%2Fcross%28%285x+-+1%29%29 ALIGN=MIDDLE  ALT=\"cross%28%285x+-+1%29%29%282x+%2B+3%29%2Fcross%28%285x+-+1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Canceling (5x - 1) in the numerator and denominator gives us a final answer of: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282x+%2B+3%29 ALIGN=MIDDLE  ALT=\"highlight_green%282x+%2B+3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  </SPAN>\n" );
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