document.write( "Question 365580: Solve f(x) = (x^3) - (6x^2) + 7x + 2 = 0 \n" ); document.write( "
Algebra.Com's Answer #260613 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "Note: exploring factor of the constant term 2, found that x = 2 is a root
\n" ); document.write( "f(2) = 8 - 24 + 14 + 2 = 0
\n" ); document.write( " x^2 - 4x -1
\n" ); document.write( " __________________________
\n" ); document.write( "x - 2 | x^3 - 6x^2 + 7x + 2
\n" ); document.write( " - (x^3 - 2x^2
\n" ); document.write( " ---------------
\n" ); document.write( " -4x^2 + 7x
\n" ); document.write( " - (-4x^2 + 8x )
\n" ); document.write( " ---------
\n" ); document.write( " -x + 2
\n" ); document.write( " - (-x + 2)
\n" ); document.write( " --------
\n" ); document.write( " 0
\n" ); document.write( "
\n" ); document.write( " x^2 - 4x -1
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%284+%2B-+sqrt%2820%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+%284+%2B-+sqrt%284%2A5%29%29%2F%282%29+\"
\n" ); document.write( "\"x+=+%284+%2B-+2sqrt%285%29%29%2F%282%29+\"
\n" ); document.write( "\"+x=+2+%2B-+sqrt%285%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );