Mathematics
x3 - x2 + ax + x - a - 1 is equal to:
(x — 1) (x2 + a - 1)
(x — 1) (x2 + a + 1)
(x — 1) (x2 - a + 1)
(x — 1) (x2 - a - 1)
Factorisation
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Answer
x3 - x2 + ax + x - a - 1
= (x3 - x2) + (ax - a) + (x - 1)
= x2(x - 1) + a(x - 1) + 1(x - 1)
= (x - 1)(x2 + a + 1)
Hence, option 2 is the correct option.
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