document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1037105>Question 1037105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> form a polynomial f(x) with real coefficients having the given degree and zeros:\r<BR>\n" );
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document.write( "degree 5; zeros 7; -i; -7+i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #651831 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=651831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor of (x-5) is one.<BR>\n" );
document.write( "factor (x^2+1) are two more<BR>\n" );
document.write( "-7+i,-i -7-i ,-7+i are all factors<BR>\n" );
document.write( "x^2+7x+c, which will give a root of (1/2)(-7+/- sqrt(49-4c)).  I need to make this -14+/- sqrt(196-4(1)(50))<BR>\n" );
document.write( "That will make the discriminant -4 and the square root +/-2i.  Divide that by 2 and get i.<BR>\n" );
document.write( "Therefore, the last quadratic factor is x^2+14x+50.<BR>\n" );
document.write( "Their product is the function: x^5+7x^4-47x^3+343x^2-48x-350<BR>\n" );
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