document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183828>Question 183828</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078656095/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials.\r<BR>\n" );
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document.write( "PROBLEM:<BR>\n" );
document.write( "(29) x^4+2x^3+2x^2-2x-3;x+1\r<BR>\n" );
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document.write( "Please help me with this question I have try time and time again and i just don't seem to know where to even begin. please help and 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 #137951 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=137951\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given a polynomial and one of its factors, find the remaining factors of the polynomial. some factors may not be binomials. <BR>\n" );
document.write( "PROBLEM:<BR>\n" );
document.write( "(29) x^4+2x^3+2x^2-2x-3;x+1 <BR>\n" );
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document.write( "Use long division or synthetic division to divide the polynomial by x+1<BR>\n" );
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document.write( "-1)....1....2....2....-2....-3<BR>\n" );
document.write( "..........1..1....1.....-3..|..0\r<BR>\n" );
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document.write( "Quotient: x^3 + x^2 + x -3<BR>\n" );
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document.write( "Since the coefficients of the quotient add up to zero, 1 is another zero:<BR>\n" );
document.write( "1).....1..1....1.....-3<BR>\n" );
document.write( "........1..2....3....|..0\r<BR>\n" );
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document.write( "Quotient: x^2 + 2 + 3<BR>\n" );
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document.write( "Use the quadratic equation to find the remaining zeroes.<BR>\n" );
document.write( "x = [-2 +- sqrt(4 - 4*1*3)]/2\r<BR>\n" );
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document.write( "x = [-2 +- sqrt(-8)]/2\r<BR>\n" );
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document.write( "x = [-2 +- 2isqrt(2)]/2\r<BR>\n" );
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document.write( "x = -1 + isqrt(2) or x = -1 -isqrt(2)<BR>\n" );
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document.write( "All the zeroes: 1, -1 , -1 + isqrt(2) , x = -1 -isqrt(2)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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