Question

How do you write `4z-2z^2-5z^4` in standard form and what are the leading coefficients?

Answer 1

See below:

Explanation:

When polynomials are in standard form, the terms are in order of descending degree. Our highest degree terms are first, and the lowest degree terms are last.

This means we can rewrite our polynomial as

`-5z^4-2z^2+4z`

The leading coefficient is just the number multiplying the highest degree term. We see that this is `-5`.

Hope this helps!