Factors of `x^3+1`

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.

Find factors of 1-x^(3)

Using division, show that (x - 1) is a factor of (x^(3) - 1)

One of the factor of x^(3) -x^(2) + x -1 is ____

If factors of x^(3)+(a+1) x^(2)-(b-2)x -6 are (x+1) and (x-2) then values of a and b are respectively is -

Find the values of m and n so that x-1 and x + 2 both are factors of x^3+(3m+1)x^2+nx-18 .

If x+1 is a factor of x^3+a , then write the value of a

Use the factor theorem to determine whether ( x + 1 ) is a factor of 2x^3 + 4x + 6 or not .