It is given that
2x2+px+q(x+1)(x−3)≡A+4x+1+1x−3\displaystyle \frac{2x^2 + px + q}{(x + 1)(x - 3)} \equiv A + \frac{4}{x + 1} + \frac{1}{x - 3}(x+1)(x−3)2x2+px+q≡A+x+14+x−31
where AAA, p p\,p and q q\,q are integers.
Find the value of AAA, the value of p p\,p and the value of qqq.