The table shows the first 4 terms of the patterns. Which statement best describes the relationship between the corresponding terms in Pattern A and Pattern B?

A. Terms in Pattern B are 1 less than the corresponding terms in Pattern A.

B. Terms in Pattern A are 2 times the corresponding terms in Pattern B.

C. Terms in Pattern B are 1 greater than the corresponding terms in Pattern A.

D. Terms in Pattern A are 2 greater than the corresponding terms in Pattern B.

Term Pattern A Pattern B
1 0 1
2 2 3
3 4 5
4 6 7

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).