document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73224>Question 73224</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.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52446 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=52446\">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. EXPRESS f(x) AS A PRODUCT OF LINEAR AND QUADRATIC POLYNOMIALS WITH REAL COEFFICIENTS. <BR>\n" );
document.write( "---------<BR>\n" );
document.write( "If 4i is a root and the polynomial has real coefficients then -4i is also<BR>\n" );
document.write( "a root.<BR>\n" );
document.write( "The polynomial is:<BR>\n" );
document.write( "f(x)=(x+3)(x+4i)(x-4i)<BR>\n" );
document.write( "f(x)=(x+3)(x^2+16)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );