Alicia Hanover can lease a sedan for $454.95 a month for 48 months. She must pay a $250.00 deposit, a $75.00 title fee, and a $120.00 license fee. After 48 months, the sedan will be worth $4,117.00. Alternately, she can purchase the vehicle for $478.96 a month for 48 months plus a $978.00 down payment and the same title and license fees. What should she offer to the leasing company to buy her car at the end of the lease to get the same total cost as buying?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).