Liam wants to buy a car and pay for it in three installments. the total cost of the car is $29,000. two times the first installment is $1,000 more than the sum of the third installment and three times the second installment. liam must pay 15% interest on the second and the third installments: the interest will amount to $2,100. if x, y, and z represent the first, second, and third installments, respectively, identify the augmented matrices that model liam's situation.

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).