document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675705>Question 675705</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 2x-3 is a factor of 10x^2 - 3x+c, find c.\r<BR>\n" );
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document.write( "I know this has to do with long division and factoring. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420026 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=420026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%5E2-3x%2Bc%29%2F%282x-3%29 ALIGN=MIDDLE  ALT=\"%2810x%5E2-3x%2Bc%29%2F%282x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "2x-3 goes into 10x^2-3x+c: 5x<BR>\n" );
document.write( "to get<BR>\n" );
document.write( "10x^2 - 15x<BR>\n" );
document.write( "subtracting<BR>\n" );
document.write( "10x^2 - 10x^2 -3x - -15x<BR>\n" );
document.write( "yielding<BR>\n" );
document.write( "12x +c<BR>\n" );
document.write( "...<BR>\n" );
document.write( "2x - 3 goes into 12x + c: 6<BR>\n" );
document.write( "to get<BR>\n" );
document.write( "12x - 18<BR>\n" );
document.write( "subtracting<BR>\n" );
document.write( "12x - 12x + c - - 18<BR>\n" );
document.write( "yielding<BR>\n" );
document.write( "c + 18<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28c+=+-18%29 ALIGN=MIDDLE  ALT=\"highlight_green%28c+=+-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "such that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810x%5E2-3x-18%29%2F%282x-3%29+=+%285x%2B6%29 ALIGN=MIDDLE  ALT=\"%2810x%5E2-3x-18%29%2F%282x-3%29+=+%285x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Check with FOIL<BR>\n" );
document.write( "10x^2 + 12x - 15x - 18<BR>\n" );
document.write( "10x^2 - 3x - 18<BR>\n" );
document.write( ".....................<BR>\n" );
document.write( "Delighted to help.<BR>\n" );
document.write( "-Reading Boosters<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );