document.write( "Question 825879: Find k so that x+2 is a factor of x^3 - kx^2 + 3x + 7k \r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:) \n" ); document.write( "

Algebra.Com's Answer #497663 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
When I do the division $\"+%28+x%5E3+-+kx%5E2+%2B+3x+%2B+7k++%29+%2F+%28+x+%2B+2+%29+\"$ ,
\n" ); document.write( "I get $\"+x%5E2+-+%28+k%2B2+%29%2Ax+%2B+2k+%2B+7+\"$ with a remainder of
\n" ); document.write( " $\"+%28+3k+-+14+%29%2F%28+x%2B2+%29+\"$ I want to make the remainder zero, so
\n" ); document.write( " $\"+3k+-+14+=+0+\"$
\n" ); document.write( " $\"+3k+=+14+\"$
\n" ); document.write( " $\"+k+=+14%2F3+\"$
\n" ); document.write( "-------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28x+%2B+2+%29%2A%28+x%5E2+-+%28+k%2B2+%29%2Ax+%2B+2k+%2B+7+%29+\"$
\n" ); document.write( " $\"+%28x+%2B+2+%29%2A%28+x%5E2+-+%28+14%2F3%2B2+%29%2Ax+%2B+2%2A%2814%2F3%29+%2B+7+%29+\"$
\n" ); document.write( " $\"+%28x+%2B+2+%29%2A%28+x%5E2+-+%28+20%2F3+%29%2Ax+%2B+28%2F3+%2B+21%2F3+%29+\"$
\n" ); document.write( " $\"+%28x+%2B+2+%29%2A%28+x%5E2+-+%28+20%2F3+%29%2Ax+%2B+49%2F3+%29+\"$
\n" ); document.write( "This should equal the original equation with $\"+k+=+14%2F3+\"$ - you can finish\r
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