document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=248231>Question 248231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1).<BR>\n" );
document.write( "Factor the following: \r<BR>\n" );
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document.write( "y3     -     1\r<BR>\n" );
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document.write( "2). What is the answer from the following? <BR>\n" );
document.write( "(6y4   +    15y3    +    28y   +   6)   ÷  (y   +   3)\r<BR>\n" );
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document.write( " 3).Find all the numbers for which the rational expression below is NOT defined:\r<BR>\n" );
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document.write( "x^2-16/x^2-7x+12\r<BR>\n" );
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document.write( " 4).    simplify<BR>\n" );
document.write( "         1                                                      1\r<BR>\n" );
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document.write( "    ---------------------------     +           ------------------------------\r<BR>\n" );
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document.write( "      a2        +    7a     +   12                 a2        +    a     -    6\r<BR>\n" );
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document.write( "--------------------------------------------------------------------------------\r<BR>\n" );
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document.write( "         1                                                      1\r<BR>\n" );
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document.write( "    ---------------------------     +           ------------------------------\r<BR>\n" );
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document.write( "      a2     +    2a     -   8                    a2        +    5a     +   4\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #180908 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=180908\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1).<BR>\n" );
document.write( "Factor the following: \r<BR>\n" );
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document.write( "y^3 - 1<BR>\n" );
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document.write( "(y-1)(y^2+y+1)<BR>\n" );
document.write( "======================\r<BR>\n" );
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document.write( "2). What is the answer from the following? <BR>\n" );
document.write( "(6y^4   +    15y^3    +    28y   +   6)   ÷  (y   +   3)<BR>\n" );
document.write( "Synthetic Division:<BR>\n" );
document.write( "-3)....6....15.....0....28....6<BR>\n" );
document.write( "........6.....-3....9.....1...|..3\r<BR>\n" );
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document.write( "Quotient: 6x^3 - 3x^2 + 9x + 1<BR>\n" );
document.write( "Remainder: 3<BR>\n" );
document.write( "============================\r<BR>\n" );
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document.write( "3).Find all the numbers for which the rational expression <BR>\n" );
document.write( "below is NOT defined:\r<BR>\n" );
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document.write( "x^2-16/x^2-7x+12<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve: x^2-7x+12 = 0<BR>\n" );
document.write( "(x-6)(x+3) = 0<BR>\n" );
document.write( "x = 6 or x = -3<BR>\n" );
document.write( "Not defined for x = 6 or x = -3<BR>\n" );
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document.write( " 4).    simplify<BR>\n" );
document.write( "         1                           1\r<BR>\n" );
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document.write( "    ----------------     +           -----------\r<BR>\n" );
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document.write( "      a^2 + 7a + 12                   a^2 + a - 6\r<BR>\n" );
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document.write( "]--------------------------------------------------------------------------------\r<BR>\n" );
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document.write( "         1                                                      1\r<BR>\n" );
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document.write( "    ---------------------------     +           ------------------------------\r<BR>\n" );
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document.write( "      a^2     +    2a     -   8                    a^2        +    5a     +   4\r<BR>\n" );
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document.write( "===============================================================================<BR>\n" );
document.write( "{1/[(a+3)(a+4)] + 1/[a+3)(a-2)]} / {1/[(a+4)(a-2)] + 1/[(a+4)(a+1)]<BR>\n" );
document.write( "-----------------------------------------------------------------------<BR>\n" );
document.write( "[(a-2)/lcm + (a+4)/lcm] / [(a+1)/lcm + (a-2)/lcm]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "[(2a+2)/lcm] / [(2a-1)/lcm]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Invert the denominator and multiply:<BR>\n" );
document.write( "2(a+2)/[(a+3)(a+4)(a-2)] * [(a+4)(a-2)(a+1)]/(2a-1)<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "Cancel where you can to end up with:<BR>\n" );
document.write( "[2(a+2)(a+1)]/[(2a-1)(a+3)]<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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