document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=749105>Question 749105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> is (x-1) a factor of (2x^3-6x+3)? Explain? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455774 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=455774\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do know if any number is a factor of another number?  Try dividing.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You have two choices for the polynomial and the binomial.  Either you can split the polynomial into factors based on its (maybe) factorability and judge the result, or you can divide the trinomial by the binomial.  If the division gives no remainder, then the binomial is a factor of the trinomial.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your trinomial is, in expanded form, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3%2B0%2Ax%5E2-6x%2B3 ALIGN=MIDDLE  ALT=\"2x%5E3%2B0%2Ax%5E2-6x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You can use polynomial division, but I will use synthetic division:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "+1____|_____2______0______-6______3<BR>\n" );
document.write( "______|<BR>\n" );
document.write( "______|___________2________2______-4<BR>\n" );
document.write( "______|____________________________<BR>\n" );
document.write( "____________2______2_______-4_____-1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The remainder is -1, which is not zero.  This means x-1 is NOT a factor of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E3-6x%2B3 ALIGN=MIDDLE  ALT=\"2x%5E3-6x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );