document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473098>Question 473098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can you please help me solve these two problems :)\r<BR>\n" );
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document.write( "Find the solution set. Write answer in interval notation.\r<BR>\n" );
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document.write( "x^3(X-2)^2(x+3)< 0\r<BR>\n" );
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document.write( "I tried to FOIL the squared quantity, which is a different of squares<BR>\n" );
document.write( "(x-2)(x+2), which gave me x^2-2x+2x- 4<BR>\n" );
document.write( "then i tried multiplying the quantity (x+3)by (x^2-4)<BR>\n" );
document.write( "my answer ca out to be x^6 + 3x^4-4x^3+ 12x^2.  I know this isnt correct?<BR>\n" );
document.write( "Help please )\r<BR>\n" );
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document.write( "Next question is Graph the Function. Specify the x-intercept, y-intercept, asymptote, domain and range.<BR>\n" );
document.write( "f(x)= 7^x\r<BR>\n" );
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document.write( "Please help. Thank you! :)<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 #324391 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=324391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^3(X-2)^2(x+3)< 0 <BR>\n" );
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document.write( "Draw a number line.<BR>\n" );
document.write( "Plot x = -3, x = 0, x = 2<BR>\n" );
document.write( "Note: Those are value x cannot take as they <BR>\n" );
document.write( "would make the left side = 0.<BR>\n" );
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document.write( "Test a value from each of the number line intervals <BR>\n" );
document.write( "to see where the solutions lie:<BR>\n" );
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document.write( "x^3(X-2)^2(x+3)< 0<BR>\n" );
document.write( "Test x = -10, -*-*- < 0 ; true, so solutions in (-oo,-3)<BR>\n" );
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document.write( "Test x = -1, -*-*+ < 0 ; false<BR>\n" );
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document.write( "Test x = 1, +*-*+ < 0 ; true, so solutions in (0,2)<BR>\n" );
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document.write( "Test x = 10, +*+*+ < 0; false<BR>\n" );
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document.write( "Solution: (-oo,-3)U(0,2)<BR>\n" );
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document.write( "Next question is Graph the Function. Specify the x-intercept, y-intercept, asymptote, domain and range.<BR>\n" );
document.write( "f(x)= 7^x <BR>\n" );
document.write( "x-int: Let y = 0, (there is no x-value that will make y = 0)<BR>\n" );
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document.write( "y-int: Let x = 0, then y = 1<BR>\n" );
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document.write( "Asymptote: y = 0<BR>\n" );
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document.write( "Domain: All Real Numbers<BR>\n" );
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document.write( "Range: All Real Number greater than 0<BR>\n" );
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document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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