Find the remainder when P(x) = 5x^3 + (5)x + (-4) 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) + (-4) = 135 + 15 + -4 = 146. Therefore the remainder is 146.
