document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=609664>Question 609664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all the real zeros of F(x)=3x^4+4x^3-3x-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #383944 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=383944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all the real zeros of F(x)=3x^4+4x^3-3x-4<BR>\n" );
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document.write( "Since the coefficients add up to zero, x = 1 is a root.<BR>\n" );
document.write( "Use sythetic division:<BR>\n" );
document.write( "1)....3....4....-3....-4<BR>\n" );
document.write( ".......3....7.....4...|..0<BR>\n" );
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document.write( "Quotient: 3x^2 + 7x + 4<BR>\n" );
document.write( "Solve to find other zeros:<BR>\n" );
document.write( "3x^2 + 7x + 4 = 0<BR>\n" );
document.write( "3x^2 + 3x + 4x + 4 = 0<BR>\n" );
document.write( "3x(x+1) + 4(x+1) = 0<BR>\n" );
document.write( "(x+1)(3x+4) = 0<BR>\n" );
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document.write( "x = -1 or x = -4/3<BR>\n" );
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document.write( "All the zeros: 1,-1,-4/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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