Find the remainder when P(x) = 5x^3 + (3)x + (-10) 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 + (3)(-3) + (-10) = -135 + -9 + -10 = -154. Therefore the remainder is -154.