Question

For the following factored polynomial, find all of the zeros and their multiplicities.

f(x) = (x-2)³(x+4)³(x+6)6
Select the correct answer below:

Ox=6 with multiplicity 6; x =
O x
O x =
O
-4 with multiplicity 9; x = 2 with multiplicity 3
-6 with multiplicity 6; x = -4 with multiplicity 9; x = 2 with multiplici 3
-4 with multiplicity 9; x = -2 with multiplicity 3
Ox=6 with multiplicity 6; a
=
4 with multiplicity 9; a= 2 with multiplicity 3
-6 with multiplicity 6; x = 4 with multiplicity 9; x = -2 with multiplicity 3
x =
6 with multiplicity 6; x =
0x =
-4 with multiplicity 9; x = -2 with multiplicity 3
-
-6 with multiplicity 6; x
=

Answer 1

Explanation:

The factored form of the polynomial is:

f(x) = (x-2)³(x+4)³(x+6)⁶

From this, we can see that the zeros of the function are: x = 2 (with multiplicity 3), x = -4 (with multiplicity 3), and x = -6 (with multiplicity 6).

Therefore, the correct answer is:

-6 with multiplicity 6; x = -4 with multiplicity 3; x = 2 with multiplicity 3.