document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427637>Question 427637</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Write the equation of the cubic function f(x), if f(-2)=0, f(1)=0, f(3)=0 and f(6)=8  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #297389 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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/cgi-bin/show-face.mpl?user=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=297389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution:Since the zeros of the function are:-2, 1, and 3 the cubic function will be:<BR>\n" );
document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B2%29%28x-1%29%28x-3%29=%28x%5E2%2Bx-2%29%28x-3%29=x%5E3-2x%5E2-5x%2B6 ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B2%29%28x-1%29%28x-3%29=%28x%5E2%2Bx-2%29%28x-3%29=x%5E3-2x%5E2-5x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The value of this function for x=6 is f(6)=120. The problem request to find a function that g(6)=8, 8=120-112, therefore the requested function will be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x%5E3-2x%5E2-5x-106 ALIGN=MIDDLE  ALT=\"g%28x%29=x%5E3-2x%5E2-5x-106\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where g(6)=8.\r<BR>\n" );
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