Question

What are the leading coefficient and degree of the polynomial?
3u+12u'-7u* +1

Answer 1

See explanation

Explanation:

Assuming the given polynomial is

`3u + 12 {u}^(2) - 7 {u}^(3) + 1`

We then rewrite in decreasing powers of u, to get:

`- 7 {u}^(3) + 12 {u}^(2) + 3u + 1`

The leading term is

`- 7 {u}^(3)`

The leading coefficient is the coefficient of the leading term.

The leading coefficient is -7.