document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366>Question 366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you help me with dividing polynomials? Here's the equation:\r<BR>\n" );
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document.write( "2x^3 - 3x^2 + 4x - 21 / 2x + 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162 by </B><A HREF=/tutors/aboutme.mpl?userid=ashipm01><B>ashipm01(26)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ashipm01><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=162\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E3+-+3x%5E2+%2B+4x+-+21%29+%2F+%282x+%2B+1%29 ALIGN=MIDDLE  ALT=\"%282x%5E3+-+3x%5E2+%2B+4x+-+21%29+%2F+%282x+%2B+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First you would take the 2x and see how many times that will go into 2x^3. Since it goes into 2x^3 x^2 times you multiply the 1 by x^2.\r<BR>\n" );
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document.write( "Now you should have (-4x^2+4X-21) as your divisor since you subtract the x^2 from the -3x^2 and you subtract the 2x^3 from the 2x^3.\r<BR>\n" );
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document.write( "Your current answer is x^2 after the first step.\r<BR>\n" );
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document.write( "Now you do the same process. You take the 2x and see how many times it will divide into -4x^2 which is -2x times. So now you multiply the 1 by 2x.\r<BR>\n" );
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document.write( "You then add the 4x^2 that you got when you multiply -2x *2x (you add it because you invert the sign so you can cancel the terms out) to -4x^2 which yields 0. You then multiply 1 * -2x and switch it from negative to positive and add that to the 4x to get 6x.\r<BR>\n" );
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document.write( "Your current answer should now be x^2 - 2x after the second step.\r<BR>\n" );
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document.write( "Next you take and see how many times 2x will go into 6x which is 3 times. Now you multiply 1 * 3 and invert the sign to get -3. Then you cancel out the 6x and you subtract 3 from -21 to get -24.\r<BR>\n" );
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document.write( "Your current answer now should be x^2 - 2x +3 after the third step.\r<BR>\n" );
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document.write( "Finally you add the remainder which is -24 and divide it by the divisor (2x+1) to get a final answer of:\r<BR>\n" );
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document.write( "I hope this helps,<BR>\n" );
document.write( "Alex </SPAN>\n" );
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