What are the quotient and remainder when 5⁴ - 3² is divided by x³ - x² + 2​?
a. The quotient is 25x - 20 and the remainder is 35
b. The quotient is 25x² - 45x + 36 and the remainder is -126x² + 72x - 4
c. The quotient is x³ + 29x² - 59x + 128 and the remainder is -205x² + 138x - 256
d. The quotient is x³ - 29x² + 59x - 128 and the remainder is -205x² + 138x - 256