The polynomial remainder theorem allows us to calculate the remainder when a polynomial is divided by a linear polynomial: The remainder of f(x) divided by (x-k) equals f(k).
Thus f(x)=x^3+3x^2-10x-4 divided by x-3 gives a remainder of f(3)=27+3(9)-10(3)-4=27+27-30-4=20 Therefore the remainder required is 20.
