document.write( "Question 1060404: f(x) = 2x^80 - 4x^70 + 2x^40 + 4x^33 - 2x^12 + 9
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Algebra.Com's Answer #675402 by ikleyn(52887) $\"\"$ $\"About$

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document.write( "According to the \"Remainder theorem\", the remainder is f(1), i.e. the value of the given polynomial at x= 1:\r\n" );
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document.write( "f(1) = 2*1^80 - 4*1^70 + 2*1^40 + 4*1^33 - 2*1^12 + 9 = \r\n" );
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document.write( "     = 2      - 4      + 2      + 4       - 2     + 9 = 11.\r\n" );
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document.write( "Answer.  The remainder when f(x) is divided by g(x) is equal to 11.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The \"Remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial (x−a) is equal to f(a).\r
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document.write( "     (Wikipedia, https://en.wikipedia.org/wiki/Polynomial_remainder_theorem).\r\n" );
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\n" ); document.write( "\n" ); document.write( "See also the lesson \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Divisibility of polynomial f(x) by binomial (x-a). The Remainder theorem\".\r
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