document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135364>Question 135364</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, <BR>\n" );
document.write( "   Can you help me with this math problem? \r<BR>\n" );
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document.write( "Find all of the real and imaginary zeroes for the polynomial function. \r<BR>\n" );
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document.write( "f(x)=x^3-8x^2+x-8\r<BR>\n" );
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document.write( "the answer should be 8,-i,i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99259 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all of the real and imaginary zeroes for the polynomial function.<BR>\n" );
document.write( "f(x)=x^3-8x^2+x-8 <BR>\n" );
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document.write( "x^3 - 8x^2 + x - 8 = 0<BR>\n" );
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document.write( "Factor by grouping<BR>\n" );
document.write( "x^3 + x - 8x^2 - 8 = 0<BR>\n" );
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document.write( "x(x^2 + 1) - 8(x^2 + 1) = 0<BR>\n" );
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document.write( "Factor out (x^2+1)<BR>\n" );
document.write( "(x - 8) (x^2 + 1) = 0<BR>\n" );
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document.write( "x = +8<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x^2 = -1<BR>\n" );
document.write( "x = +/-Sqrt(-1)<BR>\n" );
document.write( "x = +/- i </SPAN>\n" );
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