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Question
If x + 1 is a factor of x3 + a, then write the value of a.
Solution
As (x +1)s a factor of polynomial `f(x) = x^3 +a`
i.e. f(-1) = 0
\[\left( - 1 \right)^3 + a = 0\]
\[ \Rightarrow a = 1\]
Thus, the value of a = 1
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