What number should be added to 2x 3 - 3x 2 - 8x + 3 so that the resulting polynomial leaves the remainder 10 when divided by 2x + 1 ?

Given, ⇒ 2x + 1 = 0 ⇒ x = -. Let number added be a. Polynomial = 2x 3 - 3x 2 - 8x + 3 + a By remainder theorem, When a polynomial p(x) is divided by (x - a), then the remainder = f(a). Hence, no. to be added = 4.