document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916703>Question 916703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help and check what I have so far:\r<BR>\n" );
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document.write( "the question: The function p is a fourth-degree polynomial with x-intercepts 1, 4, and 10 and y-intercept -2. If p(x) is positive only on the interval (4, 10), find p(x). \r<BR>\n" );
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document.write( "p(x)= (x-1)(x-4)(x-10)<BR>\n" );
document.write( "I don't understand where to put -2 or what to do with the information about the positive only in the interval (4,10)\r<BR>\n" );
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document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556221 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=556221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p is a fourth degree polynomial, but you only have 3 roots. So one root has to be repeated (you need 4 total roots).\r<BR>\n" );
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document.write( "The y-intercept is -2, so that means p(0) = -2\r<BR>\n" );
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document.write( "So you may have p(x)= k(x-1)^2(x-4)(x-10) or p(x)= k(x-1)(x-4)^2(x-10) or p(x)= k(x-1)(x-4)(x-10)^2\r<BR>\n" );
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document.write( "Let's see what happens with p(x)= k(x-1)^2(x-4)(x-10)\r<BR>\n" );
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document.write( "p(x)= k(x-1)^2(x-4)(x-10)\r<BR>\n" );
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document.write( "p(0)= k(0-1)^2(0-4)(0-10)\r<BR>\n" );
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document.write( "-2 = 40k\r<BR>\n" );
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document.write( "40k = -2\r<BR>\n" );
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document.write( "k = -2/40\r<BR>\n" );
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document.write( "k = -1/20\r<BR>\n" );
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document.write( "So the function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%28x%29+=+expr%28-1%2F20%29%28x-1%29%5E2%28x-4%29%28x-10%29 ALIGN=MIDDLE  ALT=\"p%28x%29+=+expr%28-1%2F20%29%28x-1%29%5E2%28x-4%29%28x-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This graph (in green) confirms it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-5%2C+15%2C+-30%2C+30%2C+0%2C%28-1%2F20%29%28x-1%29%5E2%28x-4%29%28x-10%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let me know if you need more help or if you need me to explain a step in more detail.<BR>\n" );
document.write( "Feel free to email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a><BR>\n" );
document.write( "or you can visit my website here: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a>\r<BR>\n" );
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document.write( "Thanks,\r<BR>\n" );
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document.write( "Jim  </SPAN>\n" );
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