Q2.) Show all working out.
a) Find the remainder when $$x^3+2x^2-5x-3$$ is divided by $$x-2$$.
b) Find the remainder when $$x^3-3x^2-x+3$$ is divided by $$x-3$$.
Q3.) Express as partial fractions.
a) $$\frac{3x+4}{x^2+3x+2}$$
b) $$\frac{5x^2+5x+8}{(x+2)\left(x^2+2 \right)}$$
c) $$\frac{x^2+15x+21}{(x+2)^2(x-3)}$$