Find the remainder when P(x) = 5x^3 + (3)x + (-2) is divided by x – (4).
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 - (4), so substitute x = 4 into the polynomial. P(4) = 5(4)^3 + (3)(4) + (-2) = 320 + 12 + -2 = 330. Therefore the remainder is 330.