If `x^2 + kx + 6 = (x + 2) (x + 3)` for all x, then the value of `k` is

If 3x^(4)+kx^(2)-8=(3x^(2)-2)(x^(2)+4) for all x then the value of k is

If (x - 2) is a factor of polynomial p(x) = x^(3) + 2x^(2) - kx + 10 , then the value of k is:

If (x - k) is the HCF of x ^(2) + x -12 and 2x ^(2) - kx - 9, then find the value of k.

For equal root , kx (x-2) + 6 = 0 , the value of k is

If the sum of zeroes of the polynomial p(x) = 3x^2 - kx + 6 is 3, then the value of k is  :

If cot ""(2x)/(3) + tan (x/3) = cosec (kx)/(3), then the value of k is

If (x-6) is the HCF of x^(2) -2x-24 and x^(2) - kx - 6 , then what is the value of k ?

If f(x) = {(kx^(2),"if"x le 2),(3,"if" x gt 2):} is continuous at x = 2, then the value of k is

Let f(x)=|(x^(2),kx,4+kx),(kx,4+kx),x^(2)),(4+kx),x^(2),kx)| If f(x) is positive for all x in R, the find the number of integral values in the range of k.