document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171424>Question 1171424</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A polynomial f(x) with real coefficients and leading coefficient 1 has the given zeros and degree. Express f(x) as a product of linear and/or quadratic polynomials with real coefficients that are irreducible over ℝ.<BR>\n" );
document.write( "1, −5 − 4i;    degree 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #803198 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=803198\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a polynomial has the root a + bi, it also has the root a - bi.\r<BR>\n" );
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document.write( "Here, a is a constant.\r<BR>\n" );
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document.write( "a(x - 1)(x - (-5 - 4i))(x - (-5 + 4i))<BR>\n" );
document.write( "a(x - 1)(x^2 + 10x + 41)<BR>\n" );
document.write( "a(x^3 + 9x^2 + 31x - 41) </SPAN>\n" );
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