Find the remainder when P(x) = 3x^3 + (4)x + (-10) 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) = 3(2)^3 + (4)(2) + (-10) = 24 + 8 + -10 = 22. Therefore the remainder is 22.