document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=490706>Question 490706</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey,\r<BR>\n" );
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document.write( "If you could help me remember how to do this type of problem it would be AWESOME!\r<BR>\n" );
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document.write( "Form a polynomial degree with real coefficients so that 2+i and -1 are zeros.\r<BR>\n" );
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document.write( "Thanks!\r<BR>\n" );
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document.write( "(Answer is x^3-3x^2+x+5; just need to know how to figure this out - thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #334218 by </B><A HREF=/tutors/aboutme.mpl?userid=John10><B>John10(297)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=John10><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=John10><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=334218\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We know this polynomial has at least 3 solutions which are (2 + i), (2 - i) and -1<BR>\n" );
document.write( "Thus we apply the formula (x - a)(x - b)(x - c)= 0 where a,b, and c are given solutions.<BR>\n" );
document.write( "(x - 2 - i)(x - 2 + i)(x + 1) = 0<BR>\n" );
document.write( "Use the distributive to multiply from left to right<BR>\n" );
document.write( "(x^2 - 2x + xi - 2x +4 - 2i - xi + 2i - i^2)(x + 1) = 0<BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "(x^2 - 4x + 5)(x + 1) = 0<BR>\n" );
document.write( "x^3 + x^2 - 4x^2 - 4x + 5x + 5 = 0<BR>\n" );
document.write( "x^3 - 3x^2 + x + 5 = 0<BR>\n" );
document.write( "The LEFT SIDE is what you are looking for.<BR>\n" );
document.write( "John10:) </SPAN>\n" );
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