If `x- 2` is one factor of `x^2+ a- 6` and `x^2- 9x+ b,` then find the value of `a` and `b`

If x-1 is a common factor of x^(2)+ax+3 and x^(2)-bx+2 then find the value of b-a

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 is a factor of x^2+ ax + b and a +b =1. find the values of a and b.

If (x-k) is a common factor of x^(2)+3x+aandx^(2)+4x+b , then find the value of k in terms of a and b .

If (x+1) and (x-2) are factors of x^(3)+ax^(2)-bx-6, then find the values of a and b respectively.

If (x + 1) and (x - 2) are factors of x^(3)+ (a + 1)x^2 -(b - 2) x-6, find the values of a and b. And then, factorise the given expression completely.

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

Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the value of a and b dot