document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=48067>Question 48067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots.  Express f(x) as a product of linear and quadratic polynomials with real coefficients.\r<BR>\n" );
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document.write( "f(x) =(x^2-8x+16)*(x+3) \r<BR>\n" );
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document.write( "i think that equation satisfies the conditions given. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31796 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the degree three polynomial f(x) with real coefficients and leading coefficient 1, has -3 and + 4i among its roots.\r<BR>\n" );
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document.write( "If 4i is a zero, so is -4i.<BR>\n" );
document.write( "f(x)=(x+3)(x-4i)(x+4i)<BR>\n" );
document.write( "f(x)=(x+3)(x^2+16)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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