document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=805197>Question 805197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to divide this using synthetic division?<BR>\n" );
document.write( "(X^3-5x^2-7x+25)/(x-5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485372 by </B><A HREF=/tutors/aboutme.mpl?userid=coolcat%21%21%21><B>coolcat!!!(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=coolcat%21%21%21><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=485372\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You take (x-5) and take out the 5\r<BR>\n" );
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document.write( "So: (x-5) => x=5\r<BR>\n" );
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document.write( "You must then take only the coefficients of all the x's and the constant:\r<BR>\n" );
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document.write( "X^3-5x^2-7x+25 => 1  -5  -7  25\r<BR>\n" );
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document.write( "5  |  1   -5   - 7   25 <BR>\n" );
document.write( "    |       5     0    -35<BR>\n" );
document.write( "    |________________<BR>\n" );
document.write( "       1   0     -7   -10\r<BR>\n" );
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document.write( "Explanation: you write the coefficients/constant in a line at the top, and then draw a vertical line on the left of the numbers, and -leaving some space- on horizontally under the numbers. <BR>\n" );
document.write( "Write what dividing by (the 5) on the left side of the vertical line. YOUR READY TO SYNTHETICALLY DIVIDE.<BR>\n" );
document.write( "That first number (the 1) is just brought down, so you write it under the horizontal line.<BR>\n" );
document.write( "Now, 1 times the number you are dividing (5) is 5. So place that between the numbers you initially had written and the horizontal line. Now, you must ADD that -5 and 5. So it is now 0. <BR>\n" );
document.write( "0 times the number you are dividing (5) is 0. Put the 0 under the next number in the line (-7). Now you ADD -7 and 0, which is -7. -7 times 5 is -35. Place -35 under the 25. <BR>\n" );
document.write( "Finally, the 25 plus -35 is -10.\r<BR>\n" );
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document.write( "In conclusion, taking the numbers 1    0    -7    -10,<BR>\n" );
document.write( "the quotient is x^2-7 R: -10<BR>\n" );
document.write( "The 1 is just the x^2 , the zero is 0x (so we don't write it) the -7 is the constant, and -10 is the remainder.<BR>\n" );
document.write( "We start with x^2 because the quotient has one less exponent at it's first x, than the initial equation that which we divided by (x-5) (because it was x^3.\r<BR>\n" );
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document.write( "Hope this helped! Good luck!  </SPAN>\n" );
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