Find the remainder when P(x) = 5x^3 + (-5)x + (0) is divided by x – (-3).
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 - (-3), so substitute x = -3 into the polynomial. P(-3) = 5(-3)^3 + (-5)(-3) + (0) = -135 + 15 + 0 = -120. Therefore the remainder is -120.