Find the GCD of the given polynomials
`x^(4)-1, x^(3)-11x^(2)+x-11`

Find the GCD of the given polynomials x^(4)+3x^(3)-x-3, x^(3)+x^(2)-5x+3

Find the GCD of the given polynomials 3x^(4)+6x^(3)-12x^(2)-24x, 4x^(4)+14x^(3)+8x^(2)-8x

Find the GCD of the given polynomials 3x^(3)+3x^(2)+3x+3, 6x^(3)+12x^(2)+6x+12

Find the value of a which the polynomial (x^(4)-x^(3)-11x^(2)-x+a) is divisible by (x+3).

Prove that there is a zero of the polynomial 2x^(3)-9x^(2)-11x+12 in the interval (2,7) given that 2 and 7 are the zeros of the polynomial x^(4)-6x^(3)-11x^(2)+24x+28 .

Find the rational roots of the polynomial 2x^(3)+3x^(2)-11x-6