On a coordinate plane, 2 triangles are shown. The first triangle has points S (3, 5), R (5, 0), and Q (1, 0). The second triangle has points S prime (negative 3, 0), R prime (negative 5, 0), and Q prime (negative 1, 0). Which rule represents R0, 180°? (x, y) → (–y, x) (x, y) → (–x, –y) (x, y) → (y, –x) (x, y) → (y, x)

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).