document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054384>Question 1054384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, im really having trouble with this one question since i have missed the class this was taught. i would really appreciate the help!\r<BR>\n" );
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document.write( "Question: Find a FOURTH DEGREE polynomial f(x) with real coefficients that has roots of : -2, 1, and 3i with f(3)= -12\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669612 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=669612\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Polynomials with real solutions, if they have a complex root, they also have the complex conjugate as a root.<BR>\n" );
document.write( "So since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3i ALIGN=MIDDLE  ALT=\"x=3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a root, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3i ALIGN=MIDDLE  ALT=\"x=-3i\"   DISABLED_style= \"max-width:90%; height:auto;\" > is also a root. <BR>\n" );
document.write( "So forming the solution polynomial,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x%2B2%29%28x-1%29%28x-3i%29%28x%2B3i%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x%2B2%29%28x-1%29%28x-3i%29%28x%2B3i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x%5E2%2Bx-2%29%28x%5E2%2B9%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x%5E2%2Bx-2%29%28x%5E2%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=a%28x%5E4%2Bx%5E3%2B7x%5E2%2B9x-18%29 ALIGN=MIDDLE  ALT=\"f%28x%29=a%28x%5E4%2Bx%5E3%2B7x%5E2%2B9x-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > using the given value.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=a%283%5E4%2B3%5E3%2B7%283%29%5E2%2B9%283%29-18%29=-12 ALIGN=MIDDLE  ALT=\"f%283%29=a%283%5E4%2B3%5E3%2B7%283%29%5E2%2B9%283%29-18%29=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=a%28180%29=-12 ALIGN=MIDDLE  ALT=\"f%283%29=a%28180%29=-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-12%2F180 ALIGN=MIDDLE  ALT=\"a=-12%2F180\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-1%2F15 ALIGN=MIDDLE  ALT=\"a=-1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28-1%2F15%29%28x%5E4%2Bx%5E3%2B7x%5E2%2B9x-18%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%28-1%2F15%29%28x%5E4%2Bx%5E3%2B7x%5E2%2B9x-18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=de3.JPG\">. </SPAN>\n" );
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