Find the value of `k` for which `x^2 + (k-1)x + k^2-16` is exactly divisible by `(x- 3)` but not divisible by `(x-4)`

Find is values of k for which x^2+5kx+k^2 is exactly divisble by x+2 but not divisible by x+3 .

Find the values of a and b for which ax^(3)-11x^(2)+ax+b is exactly divisible by x^(2)-4x-5

Find the value of k, for which the polynomial p(x)=x^(100)+2x^(99)+k is exaclty divisible by (x+1).

The vlue of k, for which the expression x^(3)+4x^(2)+5x-k is divisible by x-2 is

Find the values of k for which 4x^(2)-2(k+1)x+(k+4)=0 has real and equal roots.

Find the value of k for which x^(2) + k(4x + k - 1) + 2 = 0 has real and equal roots.

If x^(3) +ax^(2) + 2x+3 is exactly divisible by (x+1) . Find the value of a

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