If `x - 2` is the factor of `x^3 - 3x + 5a` then find the value of `a`

If (x+1) is a factor of ax^(3)+x^(2)-2x+4a-9, then find the value of a

If x+2a is factor of x^(5)-4a^(2)x^(3)+2x+2a +3 , then find the value of a .

When (x-a) is a factor of (x^3-3x^2a+2a^2x+p) then find the value of p is:

If (x + 6) is a factor of f (x) = x ^(3) + 3x ^(2) + 4x + P, then find the value of P.

If (x +2) and (x - 3) are the factors of the function (x ^(3) + ax +b) , then find the values of a and b.

If (x-1) and (x-2) are two factors of x^(3)-ax^(2)+14x +b then find the value of a and b.

If (x^(2)-4) is a factor of (mx^(3)-x^(2)-2x+n) ,then find the value of (2m+n)