Nikita's work
area of base = b = 3 bn=(718) = 28 cm?
volume=bh= (28)(13) = 364 cm
where, if any, did nikita first make a mistake in her work?
nikita used the wrong formula for the area of the base.
nikita used the wrong measurements when finding the area of the base.
nikita used the wrong formula for the volume of the prism.
nikita did not make a mistake.

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).