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)

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step-by-step explanation: