document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45040>Question 45040</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The degree three polynomial f(x) with real coefficients and leading coefficient 1, has 4 and 3 + i 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( "My answer is f(x)=(x-4)(x^2-6x+9). \r<BR>\n" );
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document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29852 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=29852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x - (3 + i))(x - (3 - i))<BR>\n" );
document.write( "((x - 3) + i)((x - 3) - i)<BR>\n" );
document.write( "(x - 3)^2 + (x - 3)i - (x - 3)i - i^2<BR>\n" );
document.write( "x^2 - 6x + 9 - (-1)<BR>\n" );
document.write( "x^2 - 6x + 10<BR>\n" );
document.write( "then:<BR>\n" );
document.write( "(x^2 - 6x + 10)(x - 4) = f(x)<BR>\n" );
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