LetP(x) be a polynomial of degree 5 such that `P(k) = 3^k` for k = 0,1 ,2,3,4,5 Then the sum of the digit in `P(6)` is

Let P(x)=x^(4)+ax^(3)+bx^(2)+cx+d be a polynomial such that P(1)=1,P(2)=8,P(3)=27,P(4)=64 then value of P(5)=K then the number of digits of K=

If the probability function of a random variable X is defined by P(X=k) = a((k+1)/(2^k)) for k= 0,1,2,3,4,5 then the probability that X takes a prime value is

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

For a random variable X if P(X=k) = 4((k+1)/5^k)a , for k=0,1,2,…then a= _____

If 1.2.3.4+2.3.4.5+...+11.12.13.14 is k then sum of the digits of k is

For a polynomial p(x) of degree ge1, p(a)=0 , where a is a real number, then (x-a) is a factor of the polynomial p(x) Find the value of k if x-1 is a factor of 4x^(3)+3x^(2)-4x+k .

If (x + 1) be a factor of the polynomial p(x)=x^(3)+k , then k =

For a polynomial p(x) of degree ge1, p(a)=0 , where a is a real number, then (x-a) is a factor of the polynomial p(x) For what value of k, the polynomial 2x^(4)+3x^(3)+2kx^(2)+3x+6 is exactly divisible by (x+2) ?

Given 5P(4, k) = 6 P(5, k-1), k ge 1 . Then