document.write( "Question 254242: 3x2 plus kx plus 4 divided by x-2=3x-2 then k= , if x= (with a slash mark going thru = sign) \n" ); document.write( "

Algebra.Com's Answer #186565 by drk(1908) $\"\"$ $\"About$

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WHat we have is
\n" ); document.write( " $\"%283x%5E2+%2B+kx+%2B+4%29+%2F+%28x-2%29\"$ =3x-2 then k= ?
\n" ); document.write( "It appears you have don the division or have been told the answer.
\n" ); document.write( "If we divide synthetically, then we get
\n" ); document.write( "2 / . . 3 . . . . k . . . . .4
\n" ); document.write( " . . . . . . . . .6 . . . . .2k + 12
\n" ); document.write( " . . . . 3 . . . . k+6 . . . .0
\n" ); document.write( "This means that 2k + 16 = 0 or k = -8.
\n" ); document.write( "If k = -8, then k + 6 = -2 and the quotient is
\n" ); document.write( "3x - 2.
\n" ); document.write( "Now we have a restriction on the domain; x - 2 not = 0 which means x not = 2.
\n" ); document.write( "Hope this makes sense. \n" ); document.write( "

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