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Calculating two unknown coefficients of a cubic expression when given two of the expression's linear factors.

Rewrite the expression $\frac{mx^2+nx+k}{(x+a)(x^2+bx+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{Bx+C}{x^2+bx+c}$.

Rewrite the expression $\frac{mx^2+nx+k}{(x+a)(x+b)^2}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}+\frac{C}{(x+b)^2}$.

Rewrite the expression $\frac{mx^2+nx+k}{(x+a)(x+b)(x+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}+\frac{C}{x+c}$.

Rewrite the expression $\frac{nx+k}{(x+a)(x^2+bx+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{Bx+C}{x^2+bx+c}$.

Rewrite the expression $\frac{nx+k}{(x+a)(x+b)^2}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}+\frac{C}{(x+b)^2}$.

Rewrite the expression $\frac{nx+k}{(x+a)(x+b)(x+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}+\frac{C}{x+c}$.

Rewrite the expression $\frac{n}{(x+a)(x^2+bx+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{Bx+C}{x^2+bx+c}$.

Rewrite the expression $\frac{n}{(x+a)(x+b)^2}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}+\frac{C}{(x+b)^2}$.

Rewrite the expression $\frac{n}{(x+a)(x+b)(x+c)}$ as partial fractions in the form $\frac{A}{x+a}+\frac{B}{x+b}+\frac{C}{x+c}$.