document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011718>Question 1011718</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x^2 - 3x + 1 is divided by x + 2c, the remainder is -1. What is c? Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #627471 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=627471\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you can solve this by synthetic division or by long division.<BR>\n" );
document.write( "see the following worksheet:\r<BR>\n" );
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document.write( "first workssheet divides using long division and using synthetic division.\r<BR>\n" );
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document.write( "the remainder is 4c^2 + 6c + 1<BR>\n" );
document.write( "since the remainder is -1, you set 4c^2 + 6x + 1 equal to -1 and then solve for c.\r<BR>\n" );
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document.write( "you add 1 to both sides of the equation to get 4c^2 + 6x + 2 = 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/122901.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "then you factor.\r<BR>\n" );
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document.write( "the second worksheet shows you the result of factoring 4c^2 + 6x + 2 = 0\r<BR>\n" );
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document.write( "the factored equation is (4c+2) * (c+1) = 0.\r<BR>\n" );
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document.write( "solve for c to get c = -1/2 or c = -1\r<BR>\n" );
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document.write( "this means that 2c = -1 or 2c = -2\r<BR>\n" );
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document.write( "those are the roots of the quadratic equation.\r<BR>\n" );
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document.write( "when 2c = -1, x + 2c = x - 1.\r<BR>\n" );
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document.write( "when 2c = -2, x + 2c = x - 2.\r<BR>\n" );
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document.write( "your divisors of x^2 - 3x + 1 are (x-1) and (x-2).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/122902.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the next worksheet shows you long division by x-1 and by x-2.\r<BR>\n" );
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document.write( "the next worksheet shows you synthetic division by x-1 and by x-2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/122904.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "if you need a lesson on how to do long division or how to do synthetic division or how to factor a quadratic, see the following refences.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/factquad.htm\" target = \"_blank\">http://www.purplemath.com/modules/factquad.htm</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/polydiv2.htm\" target = \"_blank\">http://www.purplemath.com/modules/polydiv2.htm</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/synthdiv.htm\" target = \"_blank\">http://www.purplemath.com/modules/synthdiv.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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