Find the value of K if (x + 1) is a factor of $x^{8} + K x^{3} - 2 x + 1$ .

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Solution

The correct option is C 4
Given that $x + 1$ is factor , which implies remainder is $0$
substitute $x = - 1$ in given equation , which is equal to remainder
So we get $1 - K + 2 + 1 = 0$ , which implies $K = 4$

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