document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=396190>Question 396190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I did the following problem by synthetic division. Since this problem is rather llloooonnnngggg, I decided I need to have someone double check this. Could a tutor please look this over and tell me if I've done this correctly? I would greatly appreciate it! Thx! Here is the problem:\r<BR>\n" );
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document.write( "x^7+x^5-10x^3+12/ (x+2)\r<BR>\n" );
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document.write( "Since the divisor isn't in \"x-c\" form, I had to alter that. Also, lots of terms were missing in this problem, so I had to alter that, too. (That is what made this problem looonnnggg!) After I altered it, the problem looked like this:\r<BR>\n" );
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document.write( "x^7+0x^6+x^5+0x^4-10x^3+0x^2+0x+12 / (x-(-2))\r<BR>\n" );
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document.write( "My synthetic division went like this:\r<BR>\n" );
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document.write( "-2_| 1  0  1  0  -10  0      0  12<BR>\n" );
document.write( "       -2  4  -10  20  -20  40  -80<BR>\n" );
document.write( "_____________________________________<BR>\n" );
document.write( "     1  -2  5  -10  10  -20  40  -68 as remainder\r<BR>\n" );
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document.write( "So my answer is:\r<BR>\n" );
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document.write( "x^6-2x^5+5x^4-10x^3+10x^2-20x+40-68/(x-(-2))<BR>\n" );
document.write( "                                 <BR>\n" );
document.write( "                                 \r<BR>\n" );
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document.write( "YIKES!! Ok, is this correct, or do I need to go back to the drawing board with this? Any help would be welcomed!!! Thank you!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #281109 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=281109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"I did the following problem by synthetic division. Since this problem is rather llloooonnnngggg, I decided I need to have someone double check this. Could a tutor please look this over and tell me if I've done this correctly? I would greatly appreciate it! Thx! Here is the problem:\r<BR>\n" );
document.write( "\n" );
document.write( "x^7+x^5-10x^3+12/ (x+2)\r<BR>\n" );
document.write( "\n" );
document.write( "Since the divisor isn't in \"x-c\" form, I had to alter that. Also, lots of terms were missing in this problem, so I had to alter that, too. (That is what made this problem looonnnggg!) After I altered it, the problem looked like this:\r<BR>\n" );
document.write( "\n" );
document.write( "x^7+0x^6+x^5+0x^4-10x^3+0x^2+0x+12 / (x-(-2))\r<BR>\n" );
document.write( "\n" );
document.write( "My synthetic division went like this:\r<BR>\n" );
document.write( "\n" );
document.write( "-2_| 1  0  1  0  -10  0      0  12<BR>\n" );
document.write( "       -2  4  -10  20  -20  40  -80<BR>\n" );
document.write( "_____________________________________<BR>\n" );
document.write( "     1  -2  5  -10  10  -20  40  -68 as remainder\r<BR>\n" );
document.write( "\n" );
document.write( "So my answer is:\r<BR>\n" );
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document.write( "x^6-2x^5+5x^4-10x^3+10x^2-20x+40-68/(x-(-2))<BR>\n" );
document.write( "                                 <BR>\n" );
document.write( "                                 \r<BR>\n" );
document.write( "\n" );
document.write( "YIKES!! Ok, is this correct, or do I need to go back to the drawing board with this? Any help would be welcomed!!! Thank you!!\"\r<BR>\n" );
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document.write( "x^7+x^5-10x^3+12/ (x+2)<BR>\n" );
document.write( "filled in the missing terms with 0 coefficients<BR>\n" );
document.write( ".................x^6 - 2x^5 + 5x^4 - 10x^3 + 10x^2 - 20x + 40<BR>\n" );
document.write( "x + 2 --> x^7 + 0x^6 + x^5 + 0x^4 - 10x^3 + 0x^2 + 0x + 12<BR>\n" );
document.write( "..........x^7 + 2x^6<BR>\n" );
document.write( "..............- 2x^6 + x^5<BR>\n" );
document.write( "..............- 2x^6 - 4x^5<BR>\n" );
document.write( ".......................5x^5 + 0x^4<BR>\n" );
document.write( ".......................5x^5 + 10x^4<BR>\n" );
document.write( "............................- 10x^4 - 10x^3<BR>\n" );
document.write( "............................- 10x^4 - 20x^3<BR>\n" );
document.write( "......................................10x^3 + 0x^2<BR>\n" );
document.write( "......................................10x^3 + 20x^2<BR>\n" );
document.write( "............................................- 20x^2 + 0x<BR>\n" );
document.write( "............................................- 20x^2 - 40x<BR>\n" );
document.write( "......................................................40x + 12<BR>\n" );
document.write( "......................................................40x + 80<BR>\n" );
document.write( "...........................................................- 68<BR>\n" );
document.write( "x^6 - 2x^5 + 5x^4 - 10x^3 + 10x^2 - 20x + 40 - 68/(x + 2) is answer<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(x + 2)(x^6 - 2x^5 + 5x^4 - 10x^3 + 10x^2 - 20x + 40 - 68/(x + 2)) --><BR>\n" );
document.write( "x^6(x + 2) - 2x^5(x + 2) + 5x^4(x + 2) - 10x^3(x + 2) + 10x^2(x + 2)<BR>\n" );
document.write( " - 20x(x + 2) + 40(x + 2) - (68/(x + 2))(x + 2) --><BR>\n" );
document.write( "x^7 + 2x^6 - 2x^6 - 4x^5 + 5x^5 + 10x^4 - 10x^4 - 20x^3 + 10x^3 + 20x^2<BR>\n" );
document.write( " - 20x^2 - 40x + 40x + 80 - 68 --><BR>\n" );
document.write( "x^7 + x^5 - 10x^3 + 12, yes </SPAN>\n" );
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