document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175849>Question 1175849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that satisfies the given conditions.<BR>\n" );
document.write( "Q has degree 3 and zeros 4, <BR>\n" );
document.write( "4i, and −4i. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801542 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=801542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A polynomial with root r has a factor of the form (x-r).\r<BR>\n" );
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document.write( "So, our polynomial is:\r<BR>\n" );
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document.write( "(x - 4)(x - 4i)(x + 4i)<BR>\n" );
document.write( "(x - 4)(x^2 + 16)\r<BR>\n" );
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document.write( "(x^3 - 4x^2 + 16x - 64)\r<BR>\n" );
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document.write( "And that is our answer. </SPAN>\n" );
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