document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1093352>Question 1093352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me solve this equation in interval notation <BR>\n" );
document.write( "x^3+5x<6x^2\r<BR>\n" );
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document.write( "I tried moving it to one side and did synthetic division which gave me x(x-5) and then I did the sign diagram of the 0 and 5 and got that it was smaller than 0 at (0,5) but it was incorrect </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707964 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
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document.write( "x^3 + 5x < 6x^2  ====>\r\n" );
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document.write( "x^3 - 6x^2 + 5x < 0  ====>  factor left side  ====>\r\n" );
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document.write( "x*(x^2 -6x + 5) < 0  ====>  factor the quadratic polynomial  ====>\r\n" );
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document.write( "x*(x-5)*(x-1) < 0.\r\n" );
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document.write( "There are 3 critical points - the roots of the polynomial, where is becomes eqial to zero:\r\n" );
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document.write( "x = 0,  x = 1   and x = 5,\r\n" );
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document.write( "and there are 4 intervals:\r\n" );
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document.write( "(-infinity,0), where the function is NEGATIVE;\r\n" );
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document.write( "(0,1), where the function is positive;\r\n" );
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document.write( "(1,5), where the function is negative;  and\r\n" );
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document.write( "(5,infinity), where the function is positive.\r\n" );
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document.write( "Now YOU make an effort and complete the solution.\r\n" );
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document.write( "-------------<BR>\n" );
document.write( "See the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Inequalities/Solving-problems-on-quadratic-inequalities.lesson>Solving problems on quadratic inequalities</A>,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Inequalities/Solving-inequalities-for-polynomials-factored-to-a-product-of-linear-binomials.lesson>Solving inequalities for high degree polynomials factored into a product of linear binomials</A>  \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic &nbsp;\"<U>Inequalities</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in ALGEBRA-I\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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