document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433961>Question 433961</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help me solve this problem?\r<BR>\n" );
document.write( "\n" );
document.write( "Find a polynomial function of lowest degree with rational coefficients and -3 and 4i as some of its zeros.\r<BR>\n" );
document.write( "\n" );
document.write( "a)f(x)= x^2+3x-4xi-12i<BR>\n" );
document.write( "b)f(x)= x^3+3x^2-16x-48<BR>\n" );
document.write( "c)f(x)= x^3-3x^2+16x-48<BR>\n" );
document.write( "d)f(x)= x^3+3x^2+16x+48 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300790 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 4i is a zero, then so is -4i.<BR>\n" );
document.write( "The constant term is equal to -(-3)(4i)(-4i) = -48i*i = 48.<BR>\n" );
document.write( "The coefficient of x is (-3)(4i) + (-3)(-4i) + (4i)(-4i) = -16i*i = 16<BR>\n" );
document.write( "The coefficient of x^2 is -(-3 + 4i + (-4i)) = 3<BR>\n" );
document.write( "Therefore the answer is letter d. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );