ANSWER:
Let And
When p(x) is divided by q(x) the remainder is linear expression in x.
So , let r(x) =ax+b is added to p(x) so that
p(x) + q(x ) is divisible by q(x)
Let ,f(x) =p(x) +r(x). Then,
Clearly , q(x) is divisible by (x+3) and (3x-2)
i.e
NOW,
From equation (1) and (2) we get
Hence ,