document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1079506>Question 1079506</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.\r<BR>\n" );
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document.write( "7, -11, and 2 + 8i\r<BR>\n" );
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document.write( "I understand that I have to foil these and that I have to find the conjugate, however, I am struggling with how to FOIL (x-(2+8i))(x-(2-8i)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #693782 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=693782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given zeros:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=7 ALIGN=MIDDLE  ALT=\"x%5B1%5D=7\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=+-11 ALIGN=MIDDLE  ALT=\"x%5B2%5D=+-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=2+%2B+8i ALIGN=MIDDLE  ALT=\"x%5B3%5D=2+%2B+8i\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=2+%2B+8i ALIGN=MIDDLE  ALT=\"x%5B3%5D=2+%2B+8i\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we will have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B4%5D=2-+8i ALIGN=MIDDLE  ALT=\"x%5B4%5D=2-+8i\"   DISABLED_style= \"max-width:90%; height:auto;\" > too because complex zeros always coming in pairs\r<BR>\n" );
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document.write( "using zero product formula, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-7%29%28x-%28-11%29%29%28x-%282+%2B+8i%29%29%28x-%282-+8i%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-7%29%28x-%28-11%29%29%28x-%282+%2B+8i%29%29%28x-%282-+8i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-7%29%28x%2B11%29%28x-2+-+8i%29%28x-2%2B+8i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-7%29%28x%2B11%29%28x-2+-+8i%29%28x-2%2B+8i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2%2B11x-7x-77%29%28x%5E2-2x%2Bcross%28+8i%2Ax%29-2x%2B4-cross%2816i%29-cross%288i%2Ax%29%2Bcross%2816i%29-64i%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2+%2B+4x+-77%29%28x%5E2-4x%2B4-64%28-1%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2+%2B+4x+-77%29%28x%5E2-4x%2B4-64%28-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2+%2B+4x+-77%29%28x%5E2-4x%2B4%2B64%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2+%2B+4x+-77%29%28x%5E2-4x%2B4%2B64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%5E2+%2B+4x+-77%29%28x%5E2-4x%2B68%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%5E2+%2B+4x+-77%29%28x%5E2-4x%2B68%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%5E4+-+25x%5E2+%2B+580x+-5236 ALIGN=MIDDLE  ALT=\"f%28x%29=x%5E4+-+25x%5E2+%2B+580x+-5236\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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