PLEASE HELP, THANK YOU Question 1:

Find all real and non-real roots of the function ƒ(x) = (x2 + 4)(x – 2).

A) x = ±2

B) x = ±2i

C) x = ±2i, 2

D) x = ±4i, 2

Question 2:

Find all real and non-real roots of the function ƒ(x) = x2 + 49.

A) x = i + 7, i – 7

B) x = –49i, 49i

C) x = –7i, 7i

D) x = –7, 7

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).