document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62537>Question 62537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find thye polynomial f(x) of degree three that has zeroes at 1,2 and 4 such that f(0)= -16. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43306 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=43306\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the polynomial f(x) of degree three that has zeroes at 1,2 and 4 such that f(0)= -16.\r<BR>\n" );
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document.write( "f(x)=a(x-1)(x-2)(x-4)<BR>\n" );
document.write( "Then f(0)=a(-1)(-2)(-4)=-8a<BR>\n" );
document.write( "So, -8a=-16<BR>\n" );
document.write( "a=2<BR>\n" );
document.write( "Therefore f(x)=2(x-1)(x-2)(x-4)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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