document.write( "Question 1161506: Determine the value of k so that 3x-1 is a factor of\r
\n" ); document.write( "\n" ); document.write( "3x^3 + 8x^2 + kx - 2 \n" ); document.write( "

Algebra.Com's Answer #785096 by greenestamps(13198) $\"\"$ $\"About$

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\n" ); document.write( "If 3x-1 is a factor, then x=1/3 is a root.

\n" ); document.write( "Use synthetic division to find the value of k that makes the remainder zero.

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document.write( "   1/3 | 3   8   k    -2\r\n" );
document.write( "       |     1   3  (1/3)k+1\r\n" );
document.write( "       ----------------------\r\n" );
document.write( "         3   9  k+3  (1/3)k-1

\n" ); document.write( " $\"%281%2F3%29k-1+=+0\"$
\n" ); document.write( " $\"k-3+=+0\"$
\n" ); document.write( " $\"k+=+3\"$

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