If x-2 is a factor of the expression 2x^3+ax^2+bx-14 and when divided by x-3 the remainder is 52. Find a and b

First divide the expression with x-2.Then your remainder is equal to 0.mark it as equation 1.again divide the expression with x-3.Then your remainder will be equal to 52.mark this as equation 2.Now solve both the equation using linear equation in two variables.