document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=971182>Question 971182</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial of least degree, with integer coefficients and the given zeros. Write answers in expanded form.\r<BR>\n" );
document.write( "\n" );
document.write( "7,5i\r<BR>\n" );
document.write( "\n" );
document.write( "Please show work - I really don't know how to do this!\r<BR>\n" );
document.write( "\n" );
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 #593724 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=593724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One of your zeros is complex with an imaginary component.  Complex zeros of polynomial functions<BR>\n" );
document.write( "occur as conjugate pairs.  Your THREE zeros are 7, 5i, and -5i.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The factored form of the polynomial with those roots is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-7%29%28x-%285i%29%29%28x-%28-5i%29%29 ALIGN=MIDDLE  ALT=\"%28x-7%29%28x-%285i%29%29%28x-%28-5i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You know of course about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Take this the rest of the way.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );