document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=57100>Question 57100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write an expression for a polynomial of degree 3 with zeros, x= -3,1,-1 and f(2)=15? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38818 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=38818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you write an expression for a polynomial of degree 3 with zeros, x= -3,1,-1 and f(2)=15?<BR>\n" );
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document.write( "Since you have those three zeroes you know the expression<BR>\n" );
document.write( "has factors (x+3)(x-1)(x+1); but it may also have a constant<BR>\n" );
document.write( "multiplier; so you write:<BR>\n" );
document.write( "f(x)=a(x+3)(x-1)(x+1)<BR>\n" );
document.write( "f(2)=a(5)(1)(3)=15<BR>\n" );
document.write( "15a=15<BR>\n" );
document.write( "a=1<BR>\n" );
document.write( "So the equation is f(x)=1(x-3)(x-1)(x+1)<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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