Let `P(x)` be a non-zero polynomial with integer coefficients. If `P(n)`is divisible for each positive integer `n`, what is the vale of `P(0)`?

Let p(x) = a_0+a_1x+ a_2x^2+.............+a_n x^n be a non zero polynomial with integer coefficient . if p( sqrt(2) + sqrt(3) + sqrt(6) )=0 , the smallest possible value of n . is

Let p(x)=a_(0)+a_(1)x+a_(2)x^(2)+...........+a_(n)x^(n) be a non zero polynomial with integer coefficient. if p(sqrt(2)+sqrt(3)+sqrt(6))=0, the smallest possible value of n_(.) is

If m and p are positive integer and (2sqrt(2))^(m)=32^(n) , what is the value of (p)/(m) ?

If n is a positive integer then .^(n)P_(n) =

Let P = { x: x is a positive integer , x lt 6 }

The coefficients of x^(p) and x^(q) (p and q are positive integers in the expansion of (1+x)^(p+q) are:

If P(x) is a polynomial with integer coefficients such that for 4 distinct integers a, b, c, d,P(a) = P(b) = P(c) = P(d) = 3, if P(e) = 5, (e is an integer) then