Let P(n) -
8(m - 3)^(n- 4)^(n+10).
(a) What is the degree of P(n)?
(b) What is the leading term of P(n)?
-87
(c) From smallest to largest, the zeros of P(n) are n =
and their
multiplicities are
respectively
(d) The graph of P(n) turns at these zeros: n =
(e) The graph of P(n) crosses the 2 axis at these zeros: n =

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).