document.write( "Question 727986: If x - 2 is a factor of the polynomial 3x ^ 3 - mx ^ 2 - 6x + 8, find the value of m.
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document.write( "Next, solve the equation 3x ^ 3 - mx ^ 2 - 6x + 8 = 0. \n" );
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Algebra.Com's Answer #445257 by solver91311(24713) You can put this solution on YOUR website! \n" ); document.write( " \r\n" ); document.write( "Use synthetic division. In order for x - 2 to be a factor of the original polynomial,\r\n" ); document.write( "synthetic division with a divisor of 2 must have 0 as a remainder:\r\n" ); document.write( "\r\n" ); document.write( "2 | 3 -m -6 8\r\n" ); document.write( " | 6 12 - 2m -8\r\n" ); document.write( " ============================\r\n" ); document.write( " 3 6 - m 6 - 2m 0\r\n" ); document.write( "\r\n" ); document.write( "So the result of multiplying 2 times 6 - 2m must be -8\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Solve 12 - 4m = -8 for m.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "John \n" ); document.write( " \n" ); document.write( "Egw to Beta kai to Sigma \n" ); document.write( "My calculator said it, I believe it, that settles it \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |