document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206090>Question 1206090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide the polynomials using long division. Then verify your solution by using synthetic division. Show your work.\r<BR>\n" );
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document.write( "(-2x^3 + 5x^2 - x + 2) ÷ (x + 2)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843299 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843299\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answers:<BR>\n" );
document.write( "<font color=red size=4>quotient = -2x^2+9x-19<BR>\n" );
document.write( "remainder = 40</font>\r<BR>\n" );
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document.write( "Here's the polynomial long division<BR>\n" );
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document.write( "The expression at the very top is the quotient. The number at the very bottom is the remainder.\r<BR>\n" );
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document.write( "And here's what the synthetic division looks like<BR>\n" );
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document.write( "The last number in the bottom row is the remainder.<BR>\n" );
document.write( "The other values in the bottom row are the coefficients to the quotient.\r<BR>\n" );
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document.write( "Side note: The nonzero remainder indicates that (x+2) is NOT a factor of -2x^3 + 5x^2 - x + 2\r<BR>\n" );
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document.write( "There are many great resources found on the internet that will explain how polynomial long division works.<BR>\n" );
document.write( "Here is one such page<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.mathsisfun.com/algebra/polynomials-division-long.html\">https://www.mathsisfun.com/algebra/polynomials-division-long.html</a><BR>\n" );
document.write( "Feel free to explore other resources.\r<BR>\n" );
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document.write( "Here is a calculator that will provide a step by step look for your particular problem<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.emathhelp.net/en/calculators/algebra-1/polynomial-long-division-calculator/\">https://www.emathhelp.net/en/calculators/algebra-1/polynomial-long-division-calculator/</a>\r<BR>\n" );
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document.write( "Here is a calculator for synthetic division<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.emathhelp.net/en/calculators/algebra-1/synthetic-division-calculator/\">https://www.emathhelp.net/en/calculators/algebra-1/synthetic-division-calculator/</a><BR>\n" );
document.write( "This calculator also explains things step by step.<BR>\n" );
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