Find the remainder when P(x) = -2x^3 + (8)x + (6) is divided by x – (2).
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 - (2), so substitute x = 2 into the polynomial. P(2) = -2(2)^3 + (8)(2) + (6) = -16 + 16 + 6 = 6. Therefore the remainder is 6.