1.

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

Answer»

Let 3x3 + 8x2 + 8x + a = (x2 + x + 1) (3x + a). 

Equating coefficient of x 

8 = a + 3 

8 – 3 = a 

a = 5



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