I did some promblems at the end of a math chapter, the last section is giving me some serious problem. Not shame to say that there is about five of them (2) Resolve the expression into its simplest partial fractions.

(2) If and are the roots of the equation show that the roots of the equation are and

(3) The roots of the quadratic equation are and Form, in terms of p and q, the quadratic equation whose roots are and .

(4) Form a quadratic equation with roots which exceed by 2 and the roots of thequadratic equation . Find the values of p for which the given equation has equal roots.

(5) Given that the roots of the equation are and , show that

can some one or a few people ( as many as it can take) help me figure out these problem. I just want to understand the chapter thoroughly