8. The circle graph shows how Tremaine divided his time on the
computer last week.
Tremaine's Computer Time
Games
25%
Homework
20%
Research
5%
Other
10%
Social media
40%
Tremaine used the computer a total of 30 hours last week. How
many more hours did Tremaine use the computer to play games
than to do research?
A. 6 hours
B. 7.5 hours
C. 1.5 hours

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).