document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45548>Question 45548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the factor theorem to decide whether or not the second polynomial is a factor of the first.\r<BR>\n" );
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document.write( "9x^4+19x^3-2x^2+x+4;x+2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #30294 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=30294\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the factor theorem to decide whether or not the second polynomial is a factor of the first.\r<BR>\n" );
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document.write( "f(x)=9x^4+19x^3-2x^2+x+4 ; x+2\r<BR>\n" );
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document.write( "Determine f(-2)<BR>\n" );
document.write( "f(-2)=9(-2)^4+19(-2)^3-2(-2)^2+(-2)+4<BR>\n" );
document.write( "=9(16)+19(-8)-2(4)+2<BR>\n" );
document.write( "=144-152-8+2<BR>\n" );
document.write( "=-14<BR>\n" );
document.write( "So x+2 is not a factor of f(x)<BR>\n" );
document.write( "If it was a factor f(-2) would have been zero.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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