Find the remainder when P(x) = 5x^3 + (-5)x + (-4) 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) = 5(2)^3 + (-5)(2) + (-4) = 40 + -10 + -4 = 26. Therefore the remainder is 26.