document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=629147>Question 629147</A>: <I><SPAN STYLE=\"word-break: break-all;\"> information is given about a polynomial f(x) whose coefficients are real numbers. Find the remaining zeros of f<BR>\n" );
document.write( "Degree 3; zeros: 5,-4i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #396050 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=396050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The degree of a polynomials tells you how many zeros there are. So f(x) has three zeros. You were only given 2 zeros so one is missing.<br><BR>\n" );
document.write( "If a polynomial with real coefficients has a complex zero, then the complex conjugate of that zero will also be a zero. A complex number in standard form is:<BR>\n" );
document.write( "a + bi<BR>\n" );
document.write( "The complex conjugate of this is:<BR>\n" );
document.write( "a - bi or a + (-bi)<br><BR>\n" );
document.write( "f(x) has a complex zero: -4i. So the complex conjugate of -4i will be our missing zero. -4i in standard form is:<BR>\n" );
document.write( "0 + (-4i)<BR>\n" );
document.write( "Its complex conjugate will be:<BR>\n" );
document.write( "0 - (-4i) or 0 + 4i or just 4i<BR>\n" );
document.write( "So the only zero that you were not given was 4i. </SPAN>\n" );
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