document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166604>Question 166604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1. PLEASE HELP ME OUT!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #122789 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=122789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a quadratic that has zeros of 5 and 1 with F(0)=1. I understand you need to multiply (x-5)(x-1) to get the polynomial, but f(0) wouldnt equal 1.<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Right.  That is why you need a variable factor,like \"k\" below.<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "f(x) = k(x-5)(x-1)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Now you get f(0) = k(-5)(-1) = 1<BR>\n" );
document.write( "5k = 1<BR>\n" );
document.write( "k = 1/5<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y = (1/5)(x-5)(x-1)<BR>\n" );
document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );