document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1004084>Question 1004084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the factor theorem to determine if (x+3) is a factor of<BR>\n" );
document.write( "f(x)= x64+3x^3-12x^2+100 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #620627 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=620627\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the factor theorem to determine if (x+3) is a factor of<BR>\n" );
document.write( "f(x)= x64+3x^3-12x^2+100 <BR>\n" );
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document.write( "Comment:: x+3 is a factor if f(-3) = 0<BR>\n" );
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document.write( "Rearranging f(x)<BR>\n" );
document.write( "f(x) = 3x^3-12x^2 + 64x + 100<BR>\n" );
document.write( "f(-3) = 3(-3)^3 - 12(-3)^2 + 64(-3) + 100<BR>\n" );
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document.write( "f(-3) = 3(-27) - 108 - 132 + 100<BR>\n" );
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document.write( "f(-3) = -81 - 108 - 132 + 100<BR>\n" );
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document.write( "f(-3) = -281<BR>\n" );
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document.write( "Since f(-3) is not zero, x+3 is not a factor of f(x)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );