document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095478>Question 1095478</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial function f with real coefficients that satisfies the given conditions.<BR>\n" );
document.write( "degree 4; zeros &#8722; 1/2, 2, &#8722;i; f(&#8722;1) = 282 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801623 by </B><A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><B>CubeyThePenguin(3113)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CubeyThePenguin><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=CubeyThePenguin><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=801623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a+bi is a solution of a polynomial, then a-bi is also a solution. That means that the roots of our polynomial are -1/2, 2, -i, and i.\r<BR>\n" );
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document.write( "(Here, a is a constant.)\r<BR>\n" );
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document.write( "a(x + 1/2)(x - 2)(x - i)(x + i)<BR>\n" );
document.write( "a(x + 1/2)(x - 2)(x^2 + 1)<BR>\n" );
document.write( "a(x^4 - 3x^3/2 - 3x/2 - 1) = y\r<BR>\n" );
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document.write( "Plug in the point (-1, 282) to find the value of a, then you can find the polynomial. </SPAN>\n" );
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