Find the remainder when P(x) = -2x^3 + (-5)x + (-7) 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) = -2(3)^3 + (-5)(3) + (-7) = -54 + -15 + -7 = -76. Therefore the remainder is -76.