document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=693093>Question 693093</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f (x)=x^3+11x^2-x-11 find all zeros of a function\r<BR>\n" );
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document.write( "how do you get the zeros from the function? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #427243 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=427243\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = x^3+11x^2-x-11 find all zeros of a function<BR>\n" );
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document.write( "Since the coefficients of \"f\" add up to zero,<BR>\n" );
document.write( "x = 1 is a zero of \"f\":<BR>\n" );
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document.write( "Use synthetic division to find the other zeroes:<BR>\n" );
document.write( "1)....1....11....-1....-11<BR>\n" );
document.write( ".......1....12....11...|..0<BR>\n" );
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document.write( "Quotient: x^2 + 12x + 11<BR>\n" );
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document.write( "Factor to find other zeroes:<BR>\n" );
document.write( "(x+11)(x+1) = 0<BR>\n" );
document.write( "x = -1 or x = -11<BR>\n" );
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document.write( "So, the zeroes of \"f\" are x = 1, x = -1, x = -11<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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