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

If ax^(4)+bx^(3)+cx^(2)+dx is exactly divisible by x^(2)-4 then (a)/(c) is ______.

If ax^(2)+bx+c is exactly divisible by 4x+5 , then

If x^(3) + 6x^(2) + kx + 6 is exactly divisible by ( x + 2) , then k = ?

If x^3+6x^2+4x+k is exactly divisible by x+2 then k=

Without actual division, show that f(x) = 2x^(4) - 6x^(3) + 3x^(2) + 3x - 2 is exactly divisible by x^(2)- 3x + 2 .

If the polynomial ax^(3)+bx-c is exactly divisible by x^(2)+bx+c, then (ac)/(b)+ab=?

Without actual division , prove that (2x^(4)+3x^(3)-12x^(2)-7x+6) is exactly divisible by (x^(2)+x-6) .

If x^(3)+6x^(2)+4x+k, is exactly divisible by (x+2), then the value of k is:

Without actual division prove that 2x^(4)-6x^(3)+3x^(2)+3x-2 is exactly divisible by x^(2)-3x+2 is