For each fraction state the degrees of the numerator and denominator, and hence determine which are proper and which are improper: (a) Find the partial fractions of (b) Check your answer by adding the...

For each fraction state the degrees of the numerator and denominator, and hence determine which are proper and which are improper:

(a) Find the partial fractions of

(b) Check your answer by adding the partial fractions together again. (c) Express in partial fractions

(d) Check your answer by adding the partial fractions together again.