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 `5n^3+2n-7`?

Answer 1

It is already in standard form. the degree is 3 and the leading coefficient is 5.

Explanation:

1. When the exponents decrease from left to right, the polynomial is in standard form. It is already in standard form the way you wrote it.
   `5n^3 + 2n - 7`

2. The degree of a polynomial is the highest exponent, which should be the first one if the polynomial is in standard form.
   the degree of this polynomial is 3.

3. The leading coefficient is just that: the first coefficient when the polynomial is in standard form. In other words, the coefficient of the term with the highest exponent.
   the leading coefficient of this polynomial is 5.