Question

How do you write a polynomial in standard form, then classify it by degree and number of terms `z^2-z^4+2z^2`?

Answer 1

`f(z) = -z^4+3z^2`

Degree: 4, Number of terms: 2

Explanation:

Let `f(z) = z^2-z^4+2z^2`

`= -z^4+z^2(1+2)`

`= -z^4+3z^2`

Hence, `f(z)` is of degree 4 with 2 terms.