Question

How do you write the polynomial so that the exponents decrease from left to right, identify the degree, and leading coefficient of the polynomial `5z+2z^3-z^2+3z^4`?

Answer 1

`3z^4 + 2z^3 -z^2 +5z`
4th degree polynomial
Leading coefficient = 3

Explanation:

Recall that the degree of a polynomial is the degree of its higheset term. In this case, it is a 4th degree polynomial because the `3z^4` is the highest exponent.

The "leading coefficient" refers to the constant term in front of the first term when the polynomial is written in standard form, which is 3.