The expression `x^(m)-1` is divisible by `x +1` , only if M is ________.(even/odd)

The expression x^(mn)+1 is divisible by x +1 , only if

If both the expressions x^(1248)-1 and x^(672)-1, are divisible by x^(n)-1, then the greatest integer value of n is

For what values of m and n , the expression 2x^(2)-(m+n)x+2n is exactly divisible by (x-1) and (x-2) ?

Prove that x^m+y^m is divisible by x + y, when m is an odd natural number.

Let a=(72!)/((36!)^(2))-1, then (A) a is odd (B) a is divisible by 71(C) a is divisible by 73(D)a is even

Prove that x^(m)+1 is a factor of x^(mn) - 1 if n is even.

If 5x^(3) +Mx+ N, M,N in R is divisible by x^(2) + x+1 , then the value of M +N is

The least integral value of ' m ' for which the expression m x^2-4x+3m+1 is positive for every x in R is: 1 b. -2 c. -1 d. 2

If (12^(n)+1)backslash is divisible by 13, then n is (a) 1 only (b)12 only (c) any odd integer (d) any even integer