document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1108150>Question 1108150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rewrite the function as a product of factors, and state all zeros. <BR>\n" );
document.write( "1. R(x) =x^3+13x^2+48x+36<BR>\n" );
document.write( "2. M(x) =3x^4-3x^2<BR>\n" );
document.write( "3. N(x) =x^3+5x^2-8x-12<BR>\n" );
document.write( "4. P(x) =x^3-8<BR>\n" );
document.write( "5. B(x) =x^4-81<BR>\n" );
document.write( "6. T(x) =15x^3+27x^2-6x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #723184 by </B><A HREF=/tutors/aboutme.mpl?userid=rumessa><B>rumessa(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rumessa><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=723184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. R(x) =x^3+13x^2+48x+36<BR>\n" );
document.write( " sol <BR>\n" );
document.write( "      x^3+13x^2+48x+36 = 0<BR>\n" );
document.write( "put x =-1 we get eqution 0 so first factor is x +1<BR>\n" );
document.write( "  dived equation by x+1<BR>\n" );
document.write( "     x+1) x^3+13x^2+48x+36( x^2 +12x +36<BR>\n" );
document.write( "          x^3+x^2<BR>\n" );
document.write( "          _  _<BR>\n" );
document.write( "         ________________________<BR>\n" );
document.write( "              12x^2 +48x + 36<BR>\n" );
document.write( "              12x^2 +12x<BR>\n" );
document.write( "             -       -<BR>\n" );
document.write( "         ______________________--<BR>\n" );
document.write( "                    36x + 36<BR>\n" );
document.write( "                    36x + 36<BR>\n" );
document.write( "                   -     -<BR>\n" );
document.write( "                  _________________<BR>\n" );
document.write( "                         0<BR>\n" );
document.write( "x^3+13x^2+48x+36 = ( x +1)( x^2 +12x +36)\r<BR>\n" );
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document.write( "2. M(x) =3x^4-3x^2\r<BR>\n" );
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document.write( "  3x^4-3x^2 = 0<BR>\n" );
document.write( "3x^2 ( x^2 -1) =0<BR>\n" );
document.write( "3x^2 ( x+1)(x-!)\r<BR>\n" );
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document.write( "3. N(x) =x^3+5x^2-8x-12\r<BR>\n" );
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document.write( "x^3+5x^2-8x-12 =0<BR>\n" );
document.write( " put x =-1 we get equation 0 so first factor is x +1<BR>\n" );
document.write( "  dived equation by x+1\r<BR>\n" );
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document.write( "x+1) x^3+5x^2-8x-12 ( x^2 + 4x -12<BR>\n" );
document.write( "     x^3+x^2<BR>\n" );
document.write( "    -    -<BR>\n" );
document.write( "_________________________<BR>\n" );
document.write( "         4x^2 -8x -12<BR>\n" );
document.write( "         4x^2 +4x<BR>\n" );
document.write( "        -     -<BR>\n" );
document.write( "_____________________<BR>\n" );
document.write( "             -12x - 12<BR>\n" );
document.write( "              -12x -12<BR>\n" );
document.write( "              +     +<BR>\n" );
document.write( "_____________________________<BR>\n" );
document.write( "                0\r<BR>\n" );
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document.write( "x^3+5x^2-8x-12 = (x+1)(x^2 + 4x -12)<BR>\n" );
document.write( "               = (x+1)(x^2 + 6x - 2x -12)<BR>\n" );
document.write( "               = (x+1)x(x+6)-2(x+6)<BR>\n" );
document.write( "               = (x+1)(x-2)(x+6)\r<BR>\n" );
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document.write( "4. P(x) =x^3-8<BR>\n" );
document.write( "x^3-8 =0<BR>\n" );
document.write( "x^3 - 2^3=0<BR>\n" );
document.write( "(x-2)(x^2-2x+4)<BR>\n" );
document.write( "5. B(x) =x^4-81<BR>\n" );
document.write( "x^4-81 = 0<BR>\n" );
document.write( "x^4 - 3^4 = 0<BR>\n" );
document.write( "(x^2)^2 - (3^2)^2 =0<BR>\n" );
document.write( "(x^2 - 3^2)(x^2 + 3^2) =0<BR>\n" );
document.write( "(x+3)(x-3)(x^2 + 9)\r<BR>\n" );
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document.write( "    \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );