SOLUTION: P(x) = x^6 − 1 (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) (b) Factor P completely.

Algebra ->  Real-numbers -> SOLUTION: P(x) = x^6 − 1 (a) Find all zeros of P, real and complex. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) (b) Factor P completely.      Log On

The zeros are the roots of degree 6 of 1


    z1 = 1

    z2 = 

    z3 = 

    z4 =  = -1

    z5 = 

    z6 = 


The complete factoring is

     = (x-z1)*(x-z2)*(x-z3)*(x-z4)*(x-z5)*(x-z6).