document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756608>Question 756608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Form a polynomial f(x) with real coefficents having the given degree and zeros<BR>\n" );
document.write( "Degree 5; Zeros: 2; -i; -7+i<BR>\n" );
document.write( "Enter the polynomial f(x)=a(____) type expression using x as the variable<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460339 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=460339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> +i and -7-i are also zeros because of -i and -7+i being zeros.  You can begin forming your function using binomial factors this way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-2%29%28x%2Bi%29%28x-i%29%28x-%28-7%2Bi%29%29%28x-%28-7-i%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-2%29%28x%2Bi%29%28x-i%29%28x-%28-7%2Bi%29%29%28x-%28-7-i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next perform multiplications to achieve real coefficients when simplified, beginning with the binomial factors containing constant terms of conjugate complex pairs.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bi%29%28x-i%29=x%5E2%2B1 ALIGN=MIDDLE  ALT=\"%28x%2Bi%29%28x-i%29=x%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-%28-7%2Bi%29%29%28x-%28-7-i%29%29=%28x%2B7-i%29%28x%2B7%2Bi%29=%28x%2B7%29%5E2%2B1=x%5E2%2B14x%2B49%2B1=x%5E2%2B14x%2B50 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Writing the update for the function,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x-2%29%28x%5E2%2B1%29%28x%5E2%2B14x%2B50%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x-2%29%28x%5E2%2B1%29%28x%5E2%2B14x%2B50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is still not yet in the general form you want, but is still correct.  Continue multiplying all the way if you want this in general form. </SPAN>\n" );
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