document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=446760>Question 446760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me find all the zeros of the polynomial P(x)= X^3+x^2-7x-3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #307698 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=307698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Can you help me find all the zeros of the polynomial P(x)= X^3+x^2-7x-3?<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Using a graphing calculator, you will find one of the roots=-3<BR>\n" );
document.write( "Next, divide (x+3) into X^3+x^2-7x-3 by long division or synthetic division.<BR>\n" );
document.write( "You will then get a quotient=x^2-2x-1<BR>\n" );
document.write( "solving by quadratic formula:<BR>\n" );
document.write( "a=1, b=-2, c=-1<BR>\n" );
document.write( "x=[-(-2)+-sqrt((-2)^2-4*1*(-1)]/2*1<BR>\n" );
document.write( "x=(2+-&#8730;8)/2<BR>\n" );
document.write( "x=(2+-2&#8730;2)/2<BR>\n" );
document.write( "x=1+-&#8730;2<BR>\n" );
document.write( "x=1+&#8730;2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=1-&#8730;2<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "zeros are -3,1+&#8730;2 and 1-&#8730;2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );