Question 738900
factor:
{{{ 3x^2 - 9x + 6 }}}
Set it equal to zero
{{{ 3x^2 - 9x + 6  = 0 }}}
Divide both sides by {{{ 3 }}}
{{{ x^2 - 3x + 2 = 0 }}}
Note that {{{ (-2)*(-1) = 2 }}}
and {{{ (-2) + (-1) = -3 }}}
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This leads me to the solution
{{{ ( x - 2 )*( x - 1 ) = 0 }}}
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There is the more drawn-out way, also
You know the solution will look like
{{{ ( x + r[1] )*( x + r[2] ) = 0 }}}
where both of{{{ r[1] }}} and {{{ r[2] }}} 
can be positive or negative.
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Expanding:
{{{ x^2 + r[1]*x + r[2]*x + r[1]*r[2] = 0 }}}
{{{ x^2 + ( r[1] + r[2] )*x + r[1]*r[2] = 0 }}}
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You are given:
{{{ x^2 - 3x + 2 = 0 }}}
{{{ r[1] + r[2] = -3 }}}
{{{ r[1]*r[2] = 2 }}}
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This shows how I got my solution