Home
Class 11
MATHS
The polynomial x^6+4x^5+3x^4+2x^3+x+1 is...

The polynomial `x^6+4x^5+3x^4+2x^3+x+1` is divisible by_______ where `w` is the cube root of units `x+omega` b. `x+omega^2` c. `(x+omega)(x+omega^2)` d. `(x-omega)(x-omega^2)` where `omega` is one of the imaginary cube roots of unity.

Promotional Banner

Similar Questions

Explore conceptually related problems

(2-omega)(2-omega^(2))(2-omega^(10))(2-omega^(11))="…….." , where omega is the complex cube root of unity

The value of the expression 1.(2-omega).(2-omega^2)+2.(3-omega)(3-omega^2)+.+(n-1)(n-omega)(n-omega^2), where omega is an imaginary cube root of unity, is………

If omega is the cube root of unity, then then value of (1 - omega) (1 - omega^(2))(1 - omega^(4))(1 - omega^(8)) is

If x=omega-omega^2-2 then , the value of x^4+3x^3+2x^2-11x-6 is (where omega is a imaginary cube root of unity)

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….

If omega is a cube root of unity, then find the value of the following: (1+omega-omega^2)(1-omega+omega^2)

Prove that the value of determinant |{:(1,,omega,,omega^(2)),(omega ,,omega^(2),,1),( omega^(2),, 1,,omega):}|=0 where omega is complex cube root of unity .

If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+omega-omega^(2))^(4) is :

If omega is a non real cube root of unity, then (a+b)(a+b omega)(a+b omega^2)=

If omega pm 1 is a cube root of unity, show that (1 - omega + omega^(2))^(6) + (1 + omega - omega^(2))^(6) = 128