Which of the following describes the roots of the polynomial function f(x) = (x-3)^4 (x + 6) squared?
–3 with multiplicity 2 and 6 with multiplicity 4
–3 with multiplicity 4 and 6 with multiplicity 2
3 with multiplicity 2 and –6 with multiplicity 4
3 with multiplicity 4 and –6 with multiplicity 2

Option d: 3 with multiplicity 4 and –6 with multiplicity 2

Explanation:

The function is

To determine the roots of a polynomial, let us substitute in the function

Thus, we have,

Thus, we have,

First solving the expression , we have,

with multiplicity 4.

Also, solving the expression , we have,

with multiplicity 2.

Thus, the roots of the polynomial function is 3 with multiplicity 4 and –6 with multiplicity 2

Hence, Option d is the correct answer.

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step-by-step explanation:

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm