document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008562>Question 1008562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the domain of the given function and what is the x-intercept and y intercept of the function, also draw the graph by using the standard model<BR>\n" );
document.write( "             f(x)=3x^4+3x^3-6x^2<BR>\n" );
document.write( "   divided by       x^2+x-2\r<BR>\n" );
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document.write( "The problem should read f(x)= 3x to the fourth power plus 3x to the third power minus 6x squared DIVIDED BY x squared plus x minus two \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624183 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=624183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Pure text, the function is   f(x)=(3x^4+3x^3-6x^2)/(x^2+x-2)\r<BR>\n" );
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document.write( "The triple curly braces rendering tags make it appear as you want,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%283x%5E4%2B3x%5E3-6x%5E2%29%2F%28x%5E2%2Bx-2%29 ALIGN=MIDDLE  ALT=\"f%28x%29=%283x%5E4%2B3x%5E3-6x%5E2%29%2F%28x%5E2%2Bx-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "You will see more clearly how to solve if you factorize and look for what those results mean.  Roots?  Asymptotes?  Intervals on x?  Domain and range?\r<BR>\n" );
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document.write( "First step,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2%28x%5E2%2Bx-2%29%29%2F%28x%5E2%2Bx-2%29 ALIGN=MIDDLE  ALT=\"%283x%5E2%28x%5E2%2Bx-2%29%29%2F%28x%5E2%2Bx-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E2%28x%2B2%29%28x-1%29%29%2F%28%28x%2B2%29%28x-1%29%29 ALIGN=MIDDLE  ALT=\"%283x%5E2%28x%2B2%29%28x-1%29%29%2F%28%28x%2B2%29%28x-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This will be a PARABOLA but TWO POINTS ARE MISSING from it.<BR>\n" );
document.write( "Based on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3x%5E2 ALIGN=MIDDLE  ALT=\"y=3x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  but then multiplied by 1, twice. </SPAN>\n" );
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