Mathematics
The remainder, when x3 - x2 + x - 1 is divided by x + 1, is :
0
-4
2
4
Factorisation
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Answer
By remainder theorem,
The remainder theorem states that when a polynomial f(x) is divided by (x - a), then the remainder = f(a).
Given,
⇒ x + 1 = 0
⇒ x = -1.
Substituting x = -1 in x3 - x2 + x - 1 , we get :
⇒ (-1)3 - (-1)2 + (-1) - 1
⇒ -1 - 1 - 1 - 1
⇒ -4.
Hence, Option 2 is the correct option.
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