Find the remainder when P(x) = -2x^3 + (-4)x + (-1) 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 + (-4)(2) + (-1) = -16 + -8 + -1 = -25. Therefore the remainder is -25.