document.write( "Question 1209680: Find the remainder when p(x) is divided by q(x), where p(x) = x^5 + 1 and q(x) = x^2 + x + 2.
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Algebra.Com's Answer #849797 by CPhill(1987)\"\" \"About 
You can put this solution on YOUR website!
Here's how to find the remainder using polynomial long division:\r
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\n" ); document.write( "x^3 - x^2 - x + 1
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\n" ); document.write( "x^2 + x + 2 | x^5 + 0x^4 + 0x^3 + 0x^2 + 0x + 1
\n" ); document.write( " x^5 + x^4 + 2x^3
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\n" ); document.write( " -x^4 - 2x^3 + 0x^2
\n" ); document.write( " -x^4 - x^3 - 2x^2
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\n" ); document.write( " -x^3 + 2x^2 + 0x
\n" ); document.write( " -x^3 - x^2 - 2x
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\n" ); document.write( " 3x^2 + 2x + 1
\n" ); document.write( " 3x^2 + 3x + 6
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\n" ); document.write( " -x - 5
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\n" ); document.write( "\n" ); document.write( "Therefore, the remainder when p(x) is divided by q(x) is -x - 5.
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