Divide `27x^3 - 81x^2 + 45x + 23` by `(x - 2).`

Find the remainder when x^3- 4x^2+12x -45 is divided by (x-2) ?

Find f(A) , given that f(x) = x^(2) - 7 x - 2 and A = [(2,3),(4,5)]

Find the absolute maximum and absolute minimum of f(x) =8x^(3) + 81x^(2) - 42x - 8 on [-8, 2]

If (1-p) (1+3x + 9x^(2) + 27x^(3) + 81 x^(4) + 243 x^(5)) = (1-p^(6)) (p != 1) , then the value of (p)/(x) will be -

lim_(x to 3) (x^(3) - x^(2) + 15 x - 9)/(x^(4) - 5x^(3) + 27x - 27) is equal to

If (27)^x = (81)^y , then find x : y .