2. Find the LCM and GCD of (2y^2 - 3a^2)x + (2a^2 - 3x^2)y and (2a^2 + 3x^2)y + (2y^2 + 3a^2)x

3.Find m if the polynomials (x^2 - 2mx + 2) and (3x^2 - mx - 4) have a common linear factor
4. The ramainder on dividing 121^n - 25^n + 1900^n - (- 4)^n by 2000 is ___________
5. Find the cubic polynomial such that f(1) is 1 , f(2) is 2, f(3) is 3 and f(4) is 5/
6.If x+a is HCF/GCD of x^2+px+q and x^2+lx+m , then the value of a is ______
7. If x^2+5x+a , x^2+3x+b have a common factor and (a-b)^2 = a(3a-5b) . Find a