-x2 + 6x + 16
= -(x2 - 6x - 16)
= -(x - 8)(x + 2)
= -(8 - x)(x + 2)
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16 + 6x - x2 = 16 + 8x - 2x - x2 = 8*(2 + x) - x*(2 + x) = (8 - x)*(2 + x)
x2 - 6x - 16 = (x - 8)(x + 2)
x2 + 6x = x*(x + 6)
x2 + 6x = 7 ⇒ x2 + 6x + 9 = 7 + 9 ⇒ (x + 3)2 = 16 ⇒ x + 3 = ±4 ⇒ x = -7 or 1
x3 + x2 - 6x + 4 = (x - 1)(x2 + 2x - 4)