document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82592>Question 82592</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 3 polynomial f(x) with real coefficients and leading coeffecient 1, has 4 and 3+i among it's roots.  Express f(x) as a product of linear and quadratic polynomials with real coeffecients. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59184 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> degree 3 means 3 roots ... complex roots come in conjugate pairs (a+bi, a-bi) ... if a is a root, then x-a is a factor\r<BR>\n" );
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document.write( "so, f(x)=(x-4)(x-(3+i))(x-(3-i)) ... or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-4%29%28x%5E2-6x%2B10%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-4%29%28x%5E2-6x%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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