document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105250>Question 1105250</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A Polynomial Function for Volume\r<BR>\n" );
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document.write( "The polynomial function given below represents the volume of a rectangular prism with a square base. Each binomial factor of the polynomial represents one dimension of the rectangular prism.\r<BR>\n" );
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document.write( "f(x) = x^3 + x^2 – 21x – 45\r<BR>\n" );
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document.write( "g(x) is a fourth-degree polynomial function with the following properties.\r<BR>\n" );
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document.write( "•g(x) has the same real zeros as f(x).<BR>\n" );
document.write( "•g(x) has at least one imaginary zero.\r<BR>\n" );
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document.write( "Find a possible equation for g(x). Write your equation in standard form. Enter your answer and explanation in the box. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720023 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13214)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720023\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28x-5%29%28x%2B3%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28x-5%29%28x%2B3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; its zeros are 5 and -3.<br><BR>\n" );
document.write( "If g(x) is a polynomial of degree 4 with the same real zeros as f(x) and with at least one imaginary root, then it must have single real zeros of 5 and -3 and one pair of imaginary zeros.<br><BR>\n" );
document.write( "With only those restrictions, a possible polynomial g(x) is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%28x-5%29%28x%2B3%29%28x%5E2%2B1%29+=+x%5E4-2x%5E3%2B16x%5E2-2x%2B15 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%28x-5%29%28x%2B3%29%28x%5E2%2B1%29+=+x%5E4-2x%5E3%2B16x%5E2-2x%2B15\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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