The correct option is D 6
By remainder theorem, we know thatif a polynomial f(x) is divided by (x - a), the remainder obtained is f(a).
From the remainder theorem, when p(x) is divided by (x – 1), the remainder is p(1).
p(x)=x2+2(x)+3
p(1)=12+2(1)+3=6
Thus the remainder is 6.