document.write( "Question 1183411: By using the remainder theorem, find the reminder for 3(x+4)^2-(1-x)^3 is divided by x. Find the remainder for (2x-1)^3+6(3+4x)^2-10 is divided by 2x+1 \n" ); document.write( "

Algebra.Com's Answer #813720 by robertb(5830) $\"\"$ $\"About$

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Let $\"f%28x%29+=+3%28x%2B4%29%5E2-%281-x%29%5E3\"$ . Then by the remainder theorem, upon division of f(x) by x, the remainder is f(0).\r
\n" ); document.write( "\n" ); document.write( "===> $\"f%280%29+=+3%280%2B4%29%5E2-%281-0%29%5E3+=+3%2A4%5E2+-+1%5E3+=+47\"$ is the remainder.\r
\n" ); document.write( "\n" ); document.write( "Now let $\"g%28x%29+=+%282x-1%29%5E3%2B6%283%2B4x%29%5E2-10+\"$ . Then by the remainder theorem, the remainder is given by

, after division by 2x + 1. \n" ); document.write( "

\n" );