document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099265>Question 1099265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with integer coefficients that satisfies the given conditions:<BR>\n" );
document.write( "P has a degree 2 and zeros <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Bi+sqrt%28+7+%29+ ALIGN=MIDDLE  ALT=\"1%2Bi+sqrt%28+7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-i+sqrt%28+7+%29+ ALIGN=MIDDLE  ALT=\"1-i+sqrt%28+7+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "I tried multiple times to get the formulat right, Im sorry I cant figure it out. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713698 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ax^2+Bx+C=0<BR>\n" );
document.write( "the roots are 1+/- i sqrt(7)<BR>\n" );
document.write( "in the quadratic formula, one divides by 2a, so let a=1 and we will be dividing by 2<BR>\n" );
document.write( "if we do that, the numerator must be 2+/-2i sqrt(7)<BR>\n" );
document.write( "this is 2+/- 2sqrt (-7); note that the sqrt term is sqrt (-28), because that may be broken down into sqrt(4)*sqrt(-7) which is 2*i sqrt(7)<BR>\n" );
document.write( "b=-2<BR>\n" );
document.write( "b^2-4ac=-28, a=1, b=-2, so find c<BR>\n" );
document.write( "4-4(1)(c)=-28<BR>\n" );
document.write( "-4c=-32<BR>\n" );
document.write( "c=8<BR>\n" );
document.write( "x^2-2x+8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C20%2Cx%5E2%2B2x%2B8%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C20%2Cx%5E2%2B2x%2B8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );