Question

Question #19b8e

Answer 1

Please see below.

Explanation:

Multiplicity is a property of zeros of polynomials.

We have the theorem that:
If `z_1` is a zero of polynomial `P`, then`(x-z_1)` is a factor.

The multiplicity of `z_1` is the number of times `(x-z_1)` is a factor of `P`.

Example:

If polynomial `P` factors as `P = (x-3)^2(x-5)^4`, then `P` has two zeros.

`3` is a zero of multiplicity `2` and

`5` is a zero of multiplicity `4`