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Determine which of the following polynom...

Determine which of the following polynomials has `(x +1)` as a factor.
(i) `x ^(3) -x ^(2) -x +1`
(ii) `x ^(4) - x ^(3) + x ^(2) -x +1`
(iii) `x ^(4) + 2x ^(3) + 2x ^(2) + x +1`
(iv) `x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
(i) ` (x -1) (x +1) (x-2)`
(ii) `(x +1) ^(2) (x-5)`
(iii) ` (x +1) (x+2) (x+10)`
(iv) `(y+1) (y+1) (y-1)`
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