document.write( "Question 72093: Find the quotient and remainder of f(x) = x3 -4x2 +5x +5 divided by p(x) = x-1\r
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Algebra.Com's Answer #51527 by rmromero(383)\"\" \"About 
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\n" ); document.write( "\"f%28x%29+=+x%5E3+-4x%5E2+%2B5x+%2B5\" divided by p(x) = x-1\r
\n" ); document.write( "\n" ); document.write( "Remember basic arithmetic: Dividend = Divisor x Quotient + Remainder
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\n" ); document.write( " If we apply this to synthetic division, we get the following result:\r
\n" ); document.write( "\n" ); document.write( "Use Synthetic Division to divide polynomials: \r
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\n" ); document.write( "\n" ); document.write( " 1| 1 -4 5 5
\n" ); document.write( " 1 -3 2
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\n" ); document.write( " 1 -3 2 7\r
\n" ); document.write( "\n" ); document.write( " Quotient Reminder
\n" ); document.write( " \"x%5E2+-+3x+%2B+2\" 7\r
\n" ); document.write( "\n" ); document.write( "The correct form of the answer synthetic division is
\n" ); document.write( " \"x%5E2+-+3x+%2B+2+%2B+7%2F%28x-1%29\"\r
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\n" ); document.write( "\n" ); document.write( "Or you can use long method of dividing: \r
\n" ); document.write( "\n" ); document.write( " x^2 - 3x + 2
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\n" ); document.write( " x - 1 /x^3 -4x^2 +5x +5
\n" ); document.write( " x^3 - x^2
\n" ); document.write( " -3x^2 + 5x
\n" ); document.write( " -3x^2 + 3x
\n" ); document.write( " 2x + 5
\n" ); document.write( " 2x - 2
\n" ); document.write( " 7 --------->Reminder
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\n" ); document.write( "The correct form of the answer using the long dividion is
\n" ); document.write( " \"x%5E2+-+3x+%2B+2+%2B+7%2F%28x-1%29\"
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