1.

If x2 + x + 1 is a factor of the polynomial 3x2 + 8x2 + 8x + 3 + 5k, then the value of k isA. 0 B. 2/5 C. 5/2 D. -1

Answer»

Let, p (x) = 3x3 + 8 (x)2 + 8x + 3 + 5k 

g (x) = x2 + x + 1 

Given g (x) is a factor of p (x) so remainder will be 0 

Remainder= -2 + 5k 

Therefore, 

- 2 + 5k = 0 

k = 2/5



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