Question

Find the zeros of the polynomial function.

f(x) = 2(x + 2)(x - 4)^4

Answer 1

Its well known that if the product of expressions is zero, then one of the factors must have been zero :)

In maths terms...
ab = 0 can only mean either a=0 or b=0 (or both, if possible)

Answer 2

Patience, I didn't say that^ was my answer, I was only pointing you in the direction on how to get said answers :)

Answer 3

Okay, there are three factors here to consider.
2
x+2
and
x-4

For the entire product to be zero, only one of them has to be zero.

Obviously, 2 can never be equal to zero, so leave that out...

So...
We have x+2 = 0
In this case, what is x?