document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201673>Question 1201673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given zero to find the remaining zeros of the polynomial function \r<BR>\n" );
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document.write( "P(x) =x^4-6x^3+71x^2-146x+530;   2+7i </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836148 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since 2+7i is one x intercept x-2i is the other\r<BR>\n" );
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document.write( "P(x)=x^4-6x^3+71x^2-146x+530; 2+7i\r<BR>\n" );
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document.write( "x=2-7i\r<BR>\n" );
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document.write( "=x-2+7i=0<BR>\n" );
document.write( "=(x-(2-7i))=0\r<BR>\n" );
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document.write( "(x-(2-7i))(x-(2+7i))=<BR>\n" );
document.write( "x^2-x(2+7i)-x(2-7i)+(2+7i)(2-7i)<BR>\n" );
document.write( "=x^2-2x-7xi-2x+7xi+53<BR>\n" );
document.write( "=x^2-4x+53\r<BR>\n" );
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document.write( "=x^4-6x^3+71x^2-146x+530/x^2-4x+53=<BR>\n" );
document.write( "x^2-2x+10\r<BR>\n" );
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document.write( "=(x^2-4x+53)(x^2-2x+10) =0 \r<BR>\n" );
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document.write( "x^2-4x+53=0 or x^2-2x+10=0\r<BR>\n" );
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document.write( "x^2-4x+53=0<BR>\n" );
document.write( "x^2-4x =-53<BR>\n" );
document.write( "add 4 to both sides <BR>\n" );
document.write( "(x^2-4x+4) = 4-53<BR>\n" );
document.write( "(x-2)^2 = -49<BR>\n" );
document.write( "Taking square root on both sides\r<BR>\n" );
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document.write( "x-2 = sqrt(-49)\r<BR>\n" );
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document.write( "x-2 = 7i<BR>\n" );
document.write( "x=2+7i\r<BR>\n" );
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document.write( "x^2-2x+10=0<BR>\n" );
document.write( "x^2-2x=-10\r<BR>\n" );
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document.write( "x^2-2x+1= 1-10\r<BR>\n" );
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document.write( "(x-1)^2 = -9\r<BR>\n" );
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document.write( "taking square root<BR>\n" );
document.write( "x-1 = sqrt(-9)<BR>\n" );
document.write( "x-1= 3i<BR>\n" );
document.write( "x=1+3i\r<BR>\n" );
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document.write( "1-3i is the conjugate of 1+3i\r<BR>\n" );
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document.write( "The other roots are 1+3i, 1-3i </SPAN>\n" );
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