document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175848>Question 1175848</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 0 and i.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #801544 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=801544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a polynomial has a root of the form a+bi, then it must also have a root of the form a-bi. Our polynomial has i as a root, so it must have -i as another root.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x)(x + i)(x - i)<BR>\n" );
document.write( "(x)(x^2 + 1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+%2B+x ALIGN=MIDDLE  ALT=\"x%5E3+%2B+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >    <= answer </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );