Which of the following represents the set of possible rational roots for the polynomial shown below?
13 + 512 – 8x– 20 = 0
A.
{2, 1,2,3,4,5,10, 20)
.+3 +4 +)
#1, #2, #3, #4, 65, 610, + 20
+ 20
{+
c. #1, #2, #4, 55, +10, 20;
{=} +1, +1, +2, +3, +1, + 1}
##
+
11
10
D.

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).