document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613232>Question 613232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of a polynomial function of least degree having complex zeros: -i & -2i. X-intercept: (2,0). Y-intercept: (0,-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #385900 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=385900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of a polynomial function of least degree having complex zeros: -i & -2i. X-intercept: (2,0). Y-intercept: (0,-2)<BR>\n" );
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document.write( "If I assume the coefficients of the polynomial function<BR>\n" );
document.write( "are Real Numbers, then i and 2i are also zeros.<BR>\n" );
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document.write( "f(x) = a(x-i)(x+i)(x-2i)(x+2i)(x-2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "To solve for \"a\", use the point (0,-2)<BR>\n" );
document.write( "-2 = a(-i)(i)(-2i)(2i)(-2)<BR>\n" );
document.write( "1 = a(1)(4)<BR>\n" );
document.write( "a = 1/4<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "f(x) = (1/4)(x^2+1)(x^2+4)(x-2)<BR>\n" );
document.write( "Degree: 5<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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