x^(3)-ax^(2)+6x-a

Find the remainders using remainder theorem, when (i) (x^(3)-6x^(2)+9x-8) is divided by x - 3. (ii) (x^(3)-ax^(2)+2x-a) is divided by x - a.

If x^(3)-ax^(2)+bx-6 is exactly divisible by x^(2)-5x+6 ,then (a)/(b) is _____.

The value of a for which (x+a) is a factor of the polynomial x^(3)+ax^(2)-2x+a+6 is

If log_((1)/(3))(|a|+1)>-1, then the domain of the function f(x)=sqrt(2x^(4)+ax^(3)-6x^(2)-4ax-8) is

If the product of zeros of the polynomial f(x)=ax^(3)-6x^(2)+11x-6 is 4, then a= (a) (3)/(2)(b)-(3)/(2)(c)(2)/(3)(d)-(2)/(3)

The fucntion f(x)=x^(3)-6ax^(2)+5x satisfies the conditions of Lagrange's mean value theorem over the interval [1,2] and the value of c (that of LMVT) is 7/4, then find the value of a.

If (x+5) is the HCF of (x^(2)+2x3b) and (6x^(3)+ax^(2)+3x-10), then a-2b=

Find the value of a if (x -a) is a factor of the polynomial x^(6)-ax^(5)+x^(4)-ax^(3)+3x-a+2