document.write( "Question 1183386: The expression 6x^2 - 2x + 3 leaves a remainder of 3 when divided by x - p. Determine the values of p. \n" ); document.write( "

Algebra.Com's Answer #813675 by mananth(16946) $\"\"$ $\"About$

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6x^2 - 2x + 3 leaves a remainder of 3 when divided by x - p. Determine the values of p.\r
\n" ); document.write( "\n" ); document.write( " $\"f%29x%29+=+6x%5E2+-2x%2B3\"$
\n" ); document.write( "divisor = x-p\r
\n" ); document.write( "\n" ); document.write( "f(p) = 6p^2-2p+3
\n" ); document.write( "By remainder theorem f(p) =remainder= 3\r
\n" ); document.write( "\n" ); document.write( " $\"6p%5E2-2p%2B3=3+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"6p%5E2-2p=0\"$ \r
\n" ); document.write( "\n" ); document.write( "2p(3p-1)=0
\n" ); document.write( "p= 0 or 1/3\r
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