Find the remainder when P(x) = -2x^3 + (-3)x + (3) is divided by x – (1).
Note
Apply the Remainder Theorem carefully. When a polynomial P(x) is divided by x - a, the remainder is P(a). Here the divisor is x - (1), so substitute x = 1 into the polynomial. P(1) = -2(1)^3 + (-3)(1) + (3) = -2 + -3 + 3 = -2. Therefore the remainder is -2.