If x² + x + 1 is a factor of the polynomial 3x³ + 8x²+ 8x + 3 + 5k, then the value of k is

(a) 0

(b) 2/5

(c) 5/2

(d) −1

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Solution

Let be the given polynomial,

Since is the factor of f(x). Therefore, re`maider will be zero.

Now,

Now,

Hence, the correct option is (b).

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