Math Help concerning zeros?

Question

i think i know the answer not positive
list each real zero and its multiplicity

5x(x-5)^3 (x+9)(x-12)^2

Answer 1

0 has multiplicity 1
5 has multiplicity 3
-9 has multiplicity 1
12 has multiplicity 2

For each factor, figure out the value of x that makes the factor equal zero. For example, x+9=0 when x=-9, so -9 is a zero of the polynomial.

Once you've found the zero for a factor, the multiplicity is the exponent the factor has. Since 12 is the zero corresponding to x-12, and since x-12 is raised to the power 2, we say that 12 is a zero with multiplicity 2.

Answer 2

If you have a product=0 each factor put to zero gives you a root.
The multiplicity is given by the exponent this factor is raised
x=0 multiplicity 1
x=5 " 3
x=-9 " 1
x=12 " 2

These are all the zeros of this product