document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155518>Question 1155518</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that has degree 4, zeros 5i and 1+i, and constant term 150. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778115 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39627)</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=778115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-5i%29%28x%2B5i%29%28x-%281%2Bi%29%29%28x-%281-i%29%29 ALIGN=MIDDLE  ALT=\"y=a%28x-5i%29%28x%2B5i%29%28x-%281%2Bi%29%29%28x-%281-i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and simplify. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Doing the multiplying carefully, and understanding that <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;\" >,<BR>\n" );
document.write( "the steps should yield <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%5E2%2B25%29%28x%5E2-2x%2B2%29 ALIGN=MIDDLE  ALT=\"y=a%28x%5E2%2B25%29%28x%5E2-2x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  which is not yet fully multiplied.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Constant term of 150 means that if x is one of the zeros, then y is 150.  Use this to find \"a\". </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );