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" );
document.write( "\n" );
document.write( "y3     -     1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2). What is the answer from the following? <BR>\n" );
document.write( "(6y4   +    15y3    +    28y   +   6)   ÷  (y   +   3)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " 3).Find all the numbers for which the rational expression below is NOT defined:\r<BR>\n" );
document.write( "\n" );
document.write( "x^2-16/x^2-7x+12\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " 4).    simplify<BR>\n" );
document.write( "         1                                                      1\r<BR>\n" );
document.write( "\n" );
document.write( "    ---------------------------     +           ------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "      a2        +    7a     +   12                 a2        +    a     -    6\r<BR>\n" );
document.write( "\n" );
document.write( "--------------------------------------------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "         1                                                      1\r<BR>\n" );
document.write( "\n" );
document.write( "    ---------------------------     +           ------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "      a2     +    2a     -   8                    a2        +    5a     +   4\r<BR>\n" );
document.write( "\n" );
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 #180909 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=180909\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> #2 one way is to  start by setting it up like long division.<BR>\n" );
document.write( "the first step<BR>\n" );
document.write( "y+3 |into| 6y4 + 15y3 goes 6y3 times<BR>\n" );
document.write( "6y^3(y+3)=6y^4+18y^3<BR>\n" );
document.write( "so we subtract from 6y4 + 15y3 and get -3y^3 remember that 15-18=-3<BR>\n" );
document.write( "how many times does y go into -3y^3 answer -3y^2<BR>\n" );
document.write( "we don't have any y^2 in our term<BR>\n" );
document.write( "so multiply out (y+3)(-3y^2) and get -3y^3-9y^2<BR>\n" );
document.write( "so next we subtract 9y^2 from zero and get 9y^2<BR>\n" );
document.write( "how many times does y go into 9y^2<BR>\n" );
document.write( "9y of course<BR>\n" );
document.write( "(y+3)*9y=9y^2+27y<BR>\n" );
document.write( "but we have 28y<BR>\n" );
document.write( "so we get y as the remainder<BR>\n" );
document.write( "now we have y+6 <BR>\n" );
document.write( "y+3 goes into y+6 once with a remainder of 3<BR>\n" );
document.write( "so we have (6y^3-3y^2+9y+1)(y+3) +1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );