document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=858768>Question 858768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that a polynomial function P(x) of degree 3 with rational coefficiants has 2 and -3i as zeroes. what are the following<BR>\n" );
document.write( "a. find the other zeroes<BR>\n" );
document.write( "b. write P(x) as a product of its linear factors<BR>\n" );
document.write( "c. write P(x) in polynomial form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #517384 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=517384\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Complex roots with imaginary components come as conjugate pairs.\r<BR>\n" );
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document.write( "The roots include 3i.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=%28x-2%29%28x-%283i%29%29%28x-%28-3i%29%29 ALIGN=MIDDLE  ALT=\"P%28x%29=%28x-2%29%28x-%283i%29%29%28x-%28-3i%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x-3i%29%28x%2B3i%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x-3i%29%28x%2B3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------Factored form with all linear factors.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%5E2-%283i%29%5E2%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%5E2-%283i%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%5E2-%28-1%29%289%29%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%5E2-%28-1%29%289%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------Factored form with Real coefficients and constant terms. </SPAN>\n" );
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