Use the following graph of the system of inequalities Sy<31 – 2
to answer the question.
y?-1
8
Region 4
6
4
Region 1
2
-6
-4
-20
-2
Region 3
O
16
Region 2
-8
2017 FlipSwitch. Created using GeoGebra,
Which region represents the solution set for the system of inequalities?
Region 4
Region 1
Region 2
Region 3

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).