document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=907297>Question 907297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my homework question is\r<BR>\n" );
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document.write( "Write a polynomial f(x) that satisfies the given conditions.Polynomial of lowest degree with zeros of 5(multiplicity 2)and -3(multiplicity 2) and with f(0)=-450\r<BR>\n" );
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document.write( "I got a(x-5)2 power(x+3)2 power\r<BR>\n" );
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document.write( "im lost after that she did a example for us but i cant figure out how to do this one still </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #550212 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=550212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If the zeros are 5, 5, -3, and -3, then the polynomial function has the form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(x)\ =\ \alpha(x\ -\ 5)^2(x\ +\ 3)^2\">\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(0)\ =\ -450\"> then it must be true that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \alpha(-5)^2(3)^2\ =\ -450\">, which is to say <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \alpha\ =\ -2\">\r<BR>\n" );
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document.write( "Hence the desired polynomial has the factored form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large f(x)\ =\ -2(x\ -\ 5)^2(x\ +\ 3)^2\">.  All that is left is for you to expand the binomials, multiply the two resulting trinomials, collect like terms, and then multiply through by the lead constant term.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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