Home
Class 9
MATHS
Show that (x-1) is a factor of x ^(10) -...

Show that `(x-1)` is a factor of `x ^(10) -1` and also of `x ^(11) -1.`

Text Solution

Verified by Experts

The correct Answer is:
`ax ^(2) + bx +c`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS AND FACTORISATION

    NCERT KANNAD|Exercise EXERCISE 2.1|6 Videos

  • POLYNOMIALS AND FACTORISATION

    NCERT KANNAD|Exercise EXERCISE 2.2|6 Videos

  • LINES AND ANGLES

    NCERT KANNAD|Exercise THINK, DISCUSS AND WRITE|3 Videos

  • PROBABILITY

    NCERT KANNAD|Exercise DO THIS|3 Videos

Similar Questions

Explore conceptually related problems

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

Show that (x-2) , (x+3) and (x-4) are factors of x ^(3) -3x ^(2) -10x + 24.

If x - 1 is a factor of x^(5) - 4x^(3) +2 x^(2) - 3x + k = 0 then k is

Check if g(x) = x^(3) - 3x + 1 is a factor of p(x) = x^(5) - 4x^(3) + x^(2) +3x + 1 .

In each of the following cases, use factor theorem to find whether g(x) is a factor of the polynomial p(x) or not. p(x)= 3x^(4)+3x^(2)-4x-11 g(x)= x-(1)/(2)

Find the value of k if x-1 is the factor of P(x) =kx^(2)-sqrt(2)x+1

Show that tan^(-1)[(acos x-bsin x)/(b cos x+a sin x)]= tan^(-1)(a/b)-x" when "(a)/(b)tan^(-1)x gt -1 .

Show that sin^(-1)(2xsqrt(1-x^(2))) = 2sin^(-1)x ,

If sec theta - tan theta = x , show that sec theta = 1/2 (x +1/x) and tan theta = 1/2 (1/x -x) .