Which of the following describes the roots of the polynomial function f(x) = (x-3)^4(x+6)^2

3,3,3,3 ,-6, and -6.

Step-by-step explanation:

Given the polynomial function

f(x) =

To find the roots of given polynomial we put f(x)=0

=0

Then we put

 and

Now, we put each factor of (x-3 )equal to zero

x-3=0

x=3

x-3=0

x=3

x-3=0

x=3

x-3=0

x=3

Similarly , we put each factor of (x+6 ) equal to zero

Then we get

x+6=0

x=-6

x+6=0

x=-6

Multiplycity of 3=4

 Multiplicity of -6= 2.

Multiplicity of any number is defined as the number of repeatation of that number in polynomial function.

Therefore, the roots of given polynomial function are 3,3,3,3-6 and -6.

idk the answer but just put a

step-by-step explanation:

2

step-by-2step explanation: