document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316382>Question 316382</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=5x^3+5x^2-x+C<BR>\n" );
document.write( "f(3)=1<BR>\n" );
document.write( "Find C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226299 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=226299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since f(3)=1, this means that if we plug in x=3, we'll get f(x)=1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=5x%5E3%2B5x%5E2-x%2BC ALIGN=MIDDLE  ALT=\"f%28x%29=5x%5E3%2B5x%5E2-x%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=5%283%29%5E3%2B5%283%29%5E2-3%2BC ALIGN=MIDDLE  ALT=\"f%283%29=5%283%29%5E3%2B5%283%29%5E2-3%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=5%283%29%5E3%2B5%283%29%5E2-3%2BC ALIGN=MIDDLE  ALT=\"1=5%283%29%5E3%2B5%283%29%5E2-3%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29=1 ALIGN=MIDDLE  ALT=\"f%283%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Our goal is to now solve for C.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=5%2827%29%2B5%283%29%5E2-3%2BC ALIGN=MIDDLE  ALT=\"1=5%2827%29%2B5%283%29%5E2-3%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cube 3 to get 27\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=5%2827%29%2B5%289%29-3%2BC ALIGN=MIDDLE  ALT=\"1=5%2827%29%2B5%289%29-3%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square 3 to get 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=135%2B45-3%2BC ALIGN=MIDDLE  ALT=\"1=135%2B45-3%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=177%2BC ALIGN=MIDDLE  ALT=\"1=177%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-177=C ALIGN=MIDDLE  ALT=\"1-177=C\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 177 from both sides.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-176=C ALIGN=MIDDLE  ALT=\"-176=C\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the value of C is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-176 ALIGN=MIDDLE  ALT=\"C=-176\"   DISABLED_style= \"max-width:90%; height:auto;\" > making the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=5x%5E3%2B5x%5E2-x-176 ALIGN=MIDDLE  ALT=\"f%28x%29=5x%5E3%2B5x%5E2-x-176\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );