Find a and b, if `x+1` and `x+2` are the factors of `x^3+3x^2-2ax+b`.

Find the value of a and b if x-1 and x-2 are factors of x^3-ax+b .

Find the value of a and b if (x-1) and (x+1) are factors of x^4 + ax^3 - 3x^2 + 2x + b

Find the values of constants a and b when x- 2 and x + 3 both are the factors of expression x^3+ax^2+bx -12.

Find the values of a and b so that (x+1) and (x-1) are factors of x^(4)ax^(3)-3x^(2)+2x+b

Given that x -2 and x + 1 are factors of f(x)=x^(3)+3x^(2)+ax+b , calculate the values of a and b. Hence, find all the factors of f(x).

Find the values of a and b, if x^2-4 is a factor of ax^4+2x^3-3x^2+bx-4.

Find the value of 'a', if (x - a) is a factor of x^(3)-ax^2+x+2 .

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