document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478033>Question 478033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to do you find all the zeros of the function with the given zero?\r<BR>\n" );
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document.write( "givin zero: 1 minus radical 3i\r<BR>\n" );
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document.write( "f(x)= 3x^3 - 4x^2 + 8x +8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327556 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=327556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how to do you find all the zeros of the function with the given zero? <BR>\n" );
document.write( "givin zero: 1 minus radical 3i <BR>\n" );
document.write( "f(x)= 3x^3 - 4x^2 + 8x +8<BR>\n" );
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document.write( "Since the coefficients are all Real, 1+sqrt(3)i is also a zero.<BR>\n" );
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document.write( "So [(x-1)+sqrt(3)i][(x-1)-sqrt(3)i] = (x-1)^2+3<BR>\n" );
document.write( "= (x^2-2x+4) is a factor.<BR>\n" );
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document.write( "Divide 3x^3-4x^2+8x+8 by x^2-2x+4 to see the \"other\" factor.<BR>\n" );
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document.write( "the other factors is 3x+2.<BR>\n" );
document.write( "So the remaining zero is x = -2/3<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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