Question

Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x^2-4x+4)(x^2+14x+49)

Answer 1

First I would either expand out your brackets [but I find this creates more confusions] or merely factorise them
You should end up with four brackets of the form
(x+a)(x+b)(x+c)(x+d)
[this is not saying that all the integers are positive and different]

Then the mulitplicity is how many times a solutions appears

e.g.
(x-2)(x-2)(x+3)

The multiplicity of '2' would be 2
The multiplicity of '-3' would be 1

Hope this helps!