Complete the square.
X^2 + 2X
halve the linear term ( 2 ), square it and add to polynomial
X^2 + 2X + 1
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-x2 + 2x + 48 = (-x - 6)(x - 8) = -(x + 6)(x - 8)
-x2 + 2x + 48 = (x +6)(8 - x)
-x2 + 2x + 48 = (-x - 6)(x - 8)
(2x + 1) (x + 3) = 2x2 + 7x + 3
-2x3 + 2x2 + 12x = -2x(x2 - x - 6) = -2x(x2 + 2x - 3x - 6) = -2x[ x(x + 2) - 3(x + 2) ] = -2x(x - 3)(x + 2)