Home
Class 11
MATHS
Show that if n be odd, x + 1 is a factor...

Show that if n be odd, x + 1 is a factor of `x^n + 1`.

Promotional Banner

Topper's Solved these Questions

  • HINDU SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|15 Videos
  • JADAVPUR VIDYAPITH

    UNITED BOOK HOUSE|Exercise EXERCISE|24 Videos

Similar Questions

Explore conceptually related problems

Show that (x-1) is a factor of x ^(n)-1.

Determine whether n is an add or even positive integer, when (x + 1) is a factor of (x^(n)-1) .

If A = { x: x in N, is a factor of 6 } and B = { x in N : x is a factor of 8 } , then B-A is equal to

Show that f:Nto N, given by x + 1, if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Show that for any set of n real values x_1 , x_2 ,……. x_n . x_1^2 + x_2^2 + ….. + x_n^2 ge frac(x_1 + x_2 + ….+ x_n)(sqrtn)

It is given that n is an odd integer greater than 3 but n is not multiple of 3. prove that (x^(3)+x^(2)+x) is a factor of (1+x)^(n)-x^(n)-1 .

It is given that n is an odd integer greater than 3 but n is not a multiple of 3 prove that x^3+x^2+x is a factor of (x+1)^n-x^n-1:

If n be any positive integer (even or odd), prove that (x - y) is a factor of the polynomial x^(n)-y^(n) .

Show that the middle term in the expansion of (x+1)^(2n)" is " (1.3.5. ......(2n-1))/(n!).2^(n).x^(n).

Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.....(2n-1))/(n!) 2^n.x^n .