2x = A(x² + x + 1) + (Bx + C)(x – 1)

= (A + B)x² + (A – B + C)x + (A – C)

Equating constants,

A – C = 0

Equating coefficients of x

2 = A – B + C

Equating coefficients of x²

0 = A + B

On solving,

We get