determine the total number of roots of each polynomial function usingg the factored form f (x) = (x + 6) ^2 (x + 2) ^2

The function has roots - 6 and - 2 and each of them has 2 multiplicity.

Step-by-step explanation:

We have to determine the total number of roots of the following polynomial function using the factored form and the function is f (x) = (x + 6) ² (x + 2) ²

Now, to get the roots f (x) will be zero.

So, the equation becomes (x + 6) ² (x + 2) ² = 0

Since the equation is 4 degrees, so, the number of solutions will be 4.

Hence, the roots are - 6, - 6, - 2, and - 2.

Therefore, the equation has roots - 6 and - 2 and each of them has 2 multiplicity. (Answer)