A student's work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.
13
6
= X
= X
Thus,
A. The equality /13 x? is incorrect or invalid.
B. Removing the x from under the radical in the second step is incorrect or invalid.
C. The work shown above is correct, however, V7 may be simplified further.
D. The work shown above is correct, and
xVx? may not be simplified further.

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).