document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=165600>Question 165600</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given 5x^4-3x^3+ax^2+bx-7 determine a and b so i is a zero of the quartic (Hint:Use synthetic or long division). Please help me, I just can't find the answer!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122059 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122059\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(x)=5x^4-3x^3+ax^2+bx-7\r<BR>\n" );
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document.write( "i is a zero of P(x) then -i is a zero of P(x) too<BR>\n" );
document.write( "Using synthetic division:\r<BR>\n" );
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document.write( "Please see source code\r<BR>\n" );
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document.write( "   5    -3         a         b              -7<BR>\n" );
document.write( " i      5i      -5-3i       -5i+3+ai       5+3i-a+bi<BR>\n" );
document.write( "   5    5i-3    -5-3i+a      -5i+3+ai+b    -2-a+(3+b)i=0<BR>\n" );
document.write( "-i      -5i       3i           5i-ai<BR>\n" );
document.write( "   5     -3      -5+a          3+b=0\r<BR>\n" );
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document.write( "-2-a+(3+b)i=0<BR>\n" );
document.write( "3+b=0\r<BR>\n" );
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document.write( "then b=-3 and a=-2\r<BR>\n" );
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document.write( "P(x)=5x^4-3x^3-2x^2-3x-7<BR>\n" );
document.write( " </SPAN>\n" );
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