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