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Question

Factorise : n3−3n−2 given that n+1 is a factor. The factors are

A
(n+1)2(n2)
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B
(n+1)(n2)2
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C
(n+1)2(n+2)
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D
none of these
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Solution

The correct option is C (n+1)2(n2)
the factors of n33n2 are

=n32n2+2n24n+n2

=n2(n2)+2n(n2)+1(n2)

=(n2)(n2+2n+1)

=(n2)(n+1)2

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