document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=587785>Question 587785</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I need to know how to write a polynomial equation of least degree with roots -3i, 3i, i, and -i. Can someone help me?\r<BR>\n" );
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document.write( "As a note, I am a high-school senior working on my precalculus book, but I am struggling with polynomials. This question comes from the first of five units for this course, and since math builds on itself, I find it necessary to ask for help before continuing on. I use a correspondance program for school and only have a textbook to teach me. There is no teacher I can contact, and no website or workbook to accompany it. My book has only shown me how to plug in roots to a provided equation for the purpose of checking whether or not they are actual roots. However, that is not enough for me to go on.\r<BR>\n" );
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document.write( "Can someone please explain to me, step-by-step, how I would solve this problem and others like it? I have not done so well during my last few math courses because it is hard to for me to comprehend a concept based on only one example provided by a textbook. Any help you can give will be greatly appreciated, and can you please show your work so I understand exactly the steps you used? Thanks again. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #374263 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=374263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if r is a root, then (x - r) is a factor\r<BR>\n" );
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document.write( "(x - -3i)(x - 3i)(x - -i)(x - i) = 0\r<BR>\n" );
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document.write( "(x + 3i)(x - 3i)(x + i)(x - i) = 0\r<BR>\n" );
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document.write( "FOILing (two pairs) ___ (x^2 - 9i^2)(x^2 - i^2) = 0\r<BR>\n" );
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document.write( "(x^2 + 9)(x^2 + 1) = 0\r<BR>\n" );
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document.write( "FOILing ___ x^4 + 10x^2 + 9 = 0\r<BR>\n" );
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document.write( "remember, i represents the square root of minus one; so i^2 equals -1 </SPAN>\n" );
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