3x2+x+1‌=a(x−1)3+b(x−1)2 3x2+x+1‌=a(x3−1+3x−3x2) ‌+b(x−1)+d 3x2+x+1‌=ax3+(−3a+b)x2 ‌+(3a−2b+c)x+(−a+b−c+d) On comparing the coefficient of like powers of x on both sides. a=0,‌−3a+b=3,3a−2b+c=2 ⇒b=3⇒0−6+c=1 ⇒c=7 ‌ and ‌‌−a+b−c+d=1 ⇒0+3−7+d=1 ⇒d=5 ‌ Hence, ‌‌[