If a polynomial which when divided by x+3 gives a remainder 6 and when divided by x-2 gives a remainder 4 , what will be the remainder when divided by (x+3)(x-2) ?
This is not a classroom.
Remainder Theorem and Factor Theorem
Go read up; then come back if you need help...
Wilmer's point is that we help. And to do that we need to know what you do or do not understand about this problem. We can see that by looking at your attempt to solve the problem. Here's an additional hint- because p(x), divided by a linear term, has a constant as remainder, it is quadratic. Write p(x) as a general quadratic and use the given information to find p(x) itself.