document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175772>Question 175772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Well I am pretty sure this is the topic we are doing. The one i selected above.<BR>\n" );
document.write( "Well anyways, this is the problem I have just been stuck on for EVER. it has 3 part, A, B, and C. and you cant get B or C if you dont get A. and ive been stuck on A. but even if i get past A, Im stil not quite sure if i know what to do with B and C. \r<BR>\n" );
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document.write( "Let p(x)=x(x-3)^2(x+1)<BR>\n" );
document.write( "A) Sketch this graph of p(x). Label all intercepts.     <-- I'm not even sure i know how to graph this at all. could you walk me through it?\r<BR>\n" );
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document.write( "b)Find another polynomial funtcion, q(x), that has the same zeroes as p(x) and goes throught the point (-1,16).     <--- once i get the first graph I'm not sure How i would MAKE it go through (-1,16), How would i go upon doing that?\r<BR>\n" );
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document.write( "c) Explain how to determine the end behavior of a polynomial function.    <--- what does it mean by determine if we already solved it above? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130856 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=130856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p(x)=x(x-3)^2(x+1)<BR>\n" );
document.write( "A) Sketch this graph of p(x). Label all intercepts. <-- <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-3%2C4%2C-10%2C10%2C%28x-3%29%5E2%28x%5E2%2Bx%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-3%2C4%2C-10%2C10%2C%28x-3%29%5E2%28x%5E2%2Bx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-intercepts: x = 0, x= 3 with multiplicity 2, x= -1<BR>\n" );
document.write( "y-intercept: P(0) = 0(0-3)^2(0+1) = 0\r<BR>\n" );
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document.write( "b)Find another polynomial funtcion, q(x), that has the same zeroes as p(x) and goes throught the point (-1,16). <--- once i get the first graph I'm not sure How i would MAKE it go through (-1,16), How would i go upon doing that? <BR>\n" );
document.write( "Consider q(x) =  x(x-3)^2(x+1)+16<BR>\n" );
document.write( "This has the same zeroes as p(x)<BR>\n" );
document.write( "and q(-1) = 16<BR>\n" );
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document.write( "c) Explain how to determine the end behavior of a polynomial function. <--- what does it mean by determine if we already solved it above?<BR>\n" );
document.write( "\"end behavior\" refers to the y-values as x gets increasingly large<BR>\n" );
document.write( "Since the highest power term determines that y value look <BR>\n" );
document.write( "at x(x-3)^2(x+1) = x^4+....<BR>\n" );
document.write( "As x gets larger x^4 gets larger so y gets larger and the <BR>\n" );
document.write( "end behavior is \"y gets increasingly larger\".<BR>\n" );
document.write( "================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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