`x^3-x^2+ax+x-a-1`

The polynomials 2x^3- 7x^2 + ax -6 and x^3-8x^2 +(2a + 1)x- 16 leave the same remainder when divided by x- 2. Find the value of a

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

Find the value of a, if x -2 is a factor of 2x^5- 6x^4 -2ax^3+ 6ax^2+ 4ax + 8.

If 1,-2 and 3 are roots of x^3-2x^2+ax+6=0 , then find a .

The polynomials 3x^(3)-ax^(2)+5x-13 and (a+1)x^(2)-7x+5 leaves the same remainder when divided by x-3. Find the value of 'a'.

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

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

If (x-1)^3 is a factor of x^4+ax^3+bx^2+cx-1=0 then the other factor is

Find the values of a and b so that the polynomial x^3+10 x^2+ax+b is exactly divisible by x-1 as well as x-2.