Find all the zeros in the equation x^4-6x^2-7x-6=0

show your work

x = 3

Step-by-step explanation: (x - 3) (x + 2) (x 2 + x + 1) = 0

Set x - 3

equal to

0

and solve for x.

x = 3

Set x + 2

equal to

0

and solve for x.

x = - 2

Set x 2 + x + 1

equal to

0

and solve for x.

x = - 1 - i √ 3 2, - 1 + i √ 3 2

The solution is the result of x - 3 = 0, x + 2 = 0, and x 2 + x + 1 = 0. x = 3, - 2, - 1 - i √ 3 2, - 1 + i√ 3 2