document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041286>Question 1041286</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function f is defined by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E3-2x%5E2%2Bcx ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E3-2x%5E2%2Bcx\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where c is a constant. The graph of f has three x-intercepts in the xy-plane.They are the points<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1%2F3.0%29 ALIGN=MIDDLE  ALT=\"%28-1%2F3.0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (1,0),and(p,0).What is the value of p? <BR>\n" );
document.write( "A)1<BR>\n" );
document.write( "B)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "C)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "D)0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656275 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=656275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3x%5E3-2x%5E2%2Bcx ALIGN=MIDDLE  ALT=\"f%28x%29=3x%5E3-2x%5E2%2Bcx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=x%2A%283x%5E2-2x%2Bc%29 ALIGN=MIDDLE  ALT=\"f%28x%29=x%2A%283x%5E2-2x%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out the GCF x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%2A%283x%5E2-2x%2Bc%29 ALIGN=MIDDLE  ALT=\"0=x%2A%283x%5E2-2x%2Bc%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace f(x) with 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%283x%5E2-2x%2Bc%29=0 ALIGN=MIDDLE  ALT=\"x%2A%283x%5E2-2x%2Bc%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the equation\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2A%283x%5E2-2x%2Bc%29=0 ALIGN=MIDDLE  ALT=\"x%2A%283x%5E2-2x%2Bc%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0 ALIGN=MIDDLE  ALT=\"x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-2x%2Bc ALIGN=MIDDLE  ALT=\"3x%5E2-2x%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since one root is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+0 ALIGN=MIDDLE  ALT=\"x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that one x-intercept is the ordered pair (x,y) = (0,0)\r<BR>\n" );
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document.write( "The only thing that comes close to that is (p,0) which is listed above. \r<BR>\n" );
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document.write( "(p,0) = (0,0)<BR>\n" );
document.write( "means p = 0\r<BR>\n" );
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document.write( "So the final answer is <font color=red size=4>choice D) 0</font><BR>\n" );
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