The partial fraction decomposition of x^2 +18/(x-3)(x^2+4) can be written in the form of f(x)/x-3 + g(x)/x^2 +4.

Question

The partial fraction decomposition of x^2 +18/(x-3)(x^2+4) can be written in the form of f(x)/x-3 + g(x)/x^2 +4.

The possible answers for f(x) and g(x) are (a) A, a constant, or (b) Ax+B, a linear function. f(x) is in the form of (input a or b)
and g(x) is in the form of (input a or b).

Answer 1

The partial fraction decomposition of x^2 +18/(x-3)(x^2+4) can be written in the form of f(x)/x-3 + g(x)/x^2 +4.

the degree of each numerator is one less that that of the denominator.