document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=472489>Question 472489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a polynomial function of degree 4 with -2 as a zero of multiplicity 1, 3 as a zero of multiplicity 2, and -1 as a zero of multiplicity 1\r<BR>\n" );
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document.write( "please show steps so i can learn. thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324804 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the fact that if r is a root of a polynomial, then x-r is a factor of the polynomial. Here, if -2 is a root, then x-(-2) = x+2 is a factor. Applying this, we get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P(x) = (x+2)(x-3)^2(x+1)\">\r<BR>\n" );
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document.write( "The x-3 is squared because the root 3 has multiplicity 2. </SPAN>\n" );
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