document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=499533>Question 499533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the polynomial function p(x) if it is of the second degree and p(1)=3,p(0)=-1 and p(-1)=-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #338589 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=338589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the polynomial function p(x) if it is of the second degree and p(1)=3,p(0)=-1 and p(-1)=-3<BR>\n" );
document.write( "**\r<BR>\n" );
document.write( "\n" );
document.write( "given points: (1, 3), (0, -1), (-1, -3)<BR>\n" );
document.write( "Standard form for 2nd degree equation: y=Ax^2+Bx+C<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A + B + C = 3<BR>\n" );
document.write( "C=-1<BR>\n" );
document.write( "A - B - C = -3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A + B -1 =3<BR>\n" );
document.write( "A - B -1 =-3<BR>\n" );
document.write( "add<BR>\n" );
document.write( "2A - 2 = 0<BR>\n" );
document.write( "A = -1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A + B = 4<BR>\n" );
document.write( "B =4 - A = 4 - 1 = 3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "A = 1<BR>\n" );
document.write( "B = 3<BR>\n" );
document.write( "c = -1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "P(x)=x^2+3x-1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );