document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58734>Question 58734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with roots of 5,-8 and 2 such that f(4)=-9\r<BR>\n" );
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document.write( "Thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40297 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=40297\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial with roots of 5,-8 and 2 such that f(4)=-9<BR>\n" );
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document.write( "y=a(x-b)(x-c)(x-d)  where b,c, and d are the roots.<BR>\n" );
document.write( "y=a(x-5)(x+8)(x-2)  Now use f(4)=-9 to find a.<BR>\n" );
document.write( "-9=a(4-5)(4+8)(4-2)<BR>\n" );
document.write( "-9=a(-1)(12)(2)<BR>\n" );
document.write( "-9=a(-24)<BR>\n" );
document.write( "-9/-24=a(-24)/-24<BR>\n" );
document.write( "9/24=a<BR>\n" );
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document.write( "Your polynomial in question is:<BR>\n" );
document.write( "y=(9/24)(x-5)(x+8)(x-2)  Most books and teachers are happy with this, but you could multiply it out if you want.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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