Find the remainder when P(x) = 2x^3 + (-3)x + (6) 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) + (6) = -2 + 3 + 6 = 7. Therefore the remainder is 7.