document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916411>Question 916411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> understand almost 90% of how to graph this but there are a few things I don't quiet understand. <BR>\n" );
document.write( "h(x) = (2x+6)(x-3)^2(x+1)^3 <BR>\n" );
document.write( "y-int = (0,54) <BR>\n" );
document.write( "x-int = (-3,0)(3,0)(-1,0) \r<BR>\n" );
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document.write( "My question is how do I determine what the degree is? and what the leading coefficient is? <BR>\n" );
document.write( "Also, I am having confusion on what exactly a tangent is can it be thought of like a \"straight line\" or \"the flat spot of a graph on the x-axis\" \r<BR>\n" );
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document.write( "When I go to graph I understand all the parts except where there there is a flat spot for the x-intercept (-1,0) since it's an odd degree factor shouldn't it just go straight through it and up to the y-intercept? I don't understand the idea of the flattened spots when graphing. <BR>\n" );
document.write( "It would be greatly appreciated if someone could explain this. \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 #556043 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=556043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%282x%2B6%29%28x-3%29%5E2%28x%2B1%29%5E3+ ALIGN=MIDDLE  ALT=\"h%28x%29+=+%282x%2B6%29%28x-3%29%5E2%28x%2B1%29%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " y-int = (0,54) <BR>\n" );
document.write( " x-int = (-3,0)(3,0)(-1,0) \r<BR>\n" );
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document.write( "to determine what the degree is, multiply  first\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=+%282x%2B6%29%28x-3%29%28x-3%29%28x%2B1%29%28x%2B1%29%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"h%28x%29+=+%282x%2B6%29%28x-3%29%28x-3%29%28x%2B1%29%28x%2B1%29%28x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when you multiply all this, you will get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%28x%29+=2x%5E6-30x%5E4-16x%5E3%2B102x%5E2%2B144x%2B54 ALIGN=MIDDLE  ALT=\"h%28x%29+=2x%5E6-30x%5E4-16x%5E3%2B102x%5E2%2B144x%2B54\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the degree is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the coefficient of the term with the highest degree is called the leading coefficient, and you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a tangent is a \"straight line\" which touches a graph of function\r<BR>\n" );
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document.write( "or the tangent line to a curve is a straight line that just touches a curve\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+10%2C+-60%2C+60%2Ccircle%28-1%2C0%2C.2%29%2Clocate%28-1%2C2.9%2Cp%28-1%2C0%29%29%2C+circle%283%2C0%2C.2%29%2Clocate%283.3%2C2.7%2Cp%283%2C0%29%29%2C+circle%28-3%2C0%2C.2%29%2Clocate%28-3%2C2.8%2Cp%28-3%2C0%29%29%2C+circle%280%2C54%2C.2%29%2Clocate%280%2C54%2Cp%280%2C54%29%29%2C+graph%28+600%2C+600%2C+-10%2C+10%2C+-60%2C+60%2C%282x%2B6%29%28x-3%29%5E2%28x%2B1%29%5E3%2C+%282x%2B6%29%28x-3%29%5E2%28x%2B1%29%5E3%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( " </SPAN>\n" );
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