document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86736>Question 86736</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I can't figure out even where to start with this question, could you walk me through it????<BR>\n" );
document.write( "Find a polynomial with integer coefficients that has the given zeros.  -4, -1+i, -1-i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62756 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=62756\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that has the given zeros.  -4, -1+i, -1-i<BR>\n" );
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document.write( "If -4 is a zero, (x+4) is a factor.<BR>\n" );
document.write( "If -1+i is a zero, (x-(-1+i))= ((x+1)-i) is a factor<BR>\n" );
document.write( "If -1-i is a zero, (x-(-1-i))= ((x+1)+i) is a factor<BR>\n" );
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document.write( "The polynomial you want is the product of these factors:<BR>\n" );
document.write( "f(x)=(x+4)((x+1)^2-(i^2))<BR>\n" );
document.write( "f(x)=(x+4)((x+1)^2+1)<BR>\n" );
document.write( "f(x)=(x+4)(x^2+2x+2)<BR>\n" );
document.write( "f(x)=x^3+6x^2+10x+8<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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