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Anonymous
(x + 7)(x + 8)
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3x2 + 15x + 6 = 3*(x2 + 5x + 2). There are no further rational factors.
(x-11)(x-4)
x2(x3 + 1) is the best you can do there.
x2 + 7x + 6 = (x + 6) (x + 1)
x2 + 13x + 36 = (x + 9)(x + 4)