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)

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………

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.

If two fair dices are thrown and digits on dices are a and b, then find the probability for which omega^(ab) = 1 , (where omega is a cube root of unity).

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

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 .

Find the greatest value of x^2y^3z^4 if x^2+y^2+z^2=1,w h e r ex ,y ,z are positive.

Show that 3x^9-10x^5+3x^4+2x^2+7=0 has at least 6 imaginary roots.

Find the least no. of imaginary roots of 2x^9+3x^5-5x^4-9x^2+2

If 1, omega omega^(2) are the cube roots of unity show that (1 + omega^(2))^(3) - (1 + omega)^(3) = 0

Solve x^3+6x^2+11x+6=0 given that the roots are in the ratio 1:2:3.