document.write( "Question 1046556: how do we use remainder theorem to determine the reminder when p(x) is divided by d(x)?
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Algebra.Com's Answer #662003 by ikleyn(52803) $\"\"$ $\"About$

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\n" ); document.write( "About the Remainder Theorem, read the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility of polynomial f(x) by binomial x-a\r
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\n" ); document.write( "\n" ); document.write( "   Theorem   (the remainder theorem)\r
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\n" ); document.write( "\n" ); document.write( "   1. The remainder of division the polynomial $\"f%28x%29\"$ by the binomial $\"x-a\"$ is equal to the value $\"f%28a%29\"$ of the polynomial. \r
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\n" ); document.write( "\n" ); document.write( "   2. The binomial $\"x-a\"$ divides the polynomial $\"f%28x%29\"$ if and only if the value of $\"a\"$ is the root of the polynomial $\"f%28x%29\"$ , i.e. $\"f%28a%29+=+0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "   3. The binomial $\"x-a\"$ factors the polynomial $\"f%28x%29\"$ if and only if the value of $\"a\"$ is the root of the polynomial $\"f%28x%29\"$ , i.e. $\"f%28a%29+=+0\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The Remainder theorem works when you divide a polynomial with integer coefficients by a binomial (x-a) with integer \"a\".\r
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