document.write( "Question 175169: How do i determine the remainder when 5w^3-2w+10 is divided by w+3? \n" ); document.write( "

Algebra.Com's Answer #130258 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5w%5E3+-+2w+%2B+10\"$ divided by $\"w+%2B+3\"$
\n" ); document.write( "You keep going until there's nothing left to divide
\n" ); document.write( "into.
\n" ); document.write( "1st partial result:
\n" ); document.write( " $\"5w%5E2\"$
\n" ); document.write( " $\"%28w+%2B+3%29%2A5w%5E2+=+5w%5E3+%2B+15w%5E2\"$
\n" ); document.write( "Subtract and you're left with $\"-15w%5E2\"$
\n" ); document.write( "2nd partial result:
\n" ); document.write( " $\"-15w\"$
\n" ); document.write( " $\"%28w+%2B+3%29%2A%28-15w%29+=+-15w%5E2+-+45w\"$
\n" ); document.write( "Subtract and you're left with $\"43w\"$
\n" ); document.write( "3rd partial result:
\n" ); document.write( " $\"43\"$
\n" ); document.write( " $\"%28w+%2B+3%29%2A43+=+43w+%2B+129\"$
\n" ); document.write( "Subtract and you're left with $\"-119\"$
\n" ); document.write( "The answer is:
\n" ); document.write( " $\"5w%5E2+-+15w+%2B+43+-+119%2F%28w%2B3%29\"$
\n" ); document.write( " $\"-119\"$ is the remainder
\n" ); document.write( " $\"%28w+%2B+3%29%2A%285w%5E2+-+15w+%2B+43+-+119%2F%28w%2B3%29%29\"$
\n" ); document.write( "gives me the original equation
\n" ); document.write( " \n" ); document.write( "

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