The polynomial given in the image is:

$f(x) = -3x^5 + 4x^3 - 3x$

Degree of the polynomial:

The degree of a polynomial is determined by the highest power of $x$ in the expression. Here, the highest power of $x$ is $x^5$. Hence, the degree of the polynomial is 5.

Leading coefficient:

The leading coefficient is the coefficient of the term with the highest degree. In this case, the term with the highest degree is $-3x^5$, so the leading coefficient is -3.

Let me know if you'd like further details or clarifications!

Here are 5 related questions for practice:

1. What is the degree of the polynomial $2x^4 - 5x^2 + 7$?
2. If the polynomial is $x^6 - 2x^4 + x$, what is the leading coefficient?
3. How does the degree of a polynomial affect its graph's end behavior?
4. Can a polynomial have more than one leading coefficient? Why or why not?
5. What is the sum of the degrees of the terms in the polynomial $4x^3 + 6x^2 - x + 7$?

Tip:

The degree of a polynomial determines the general shape and behavior of its graph, especially at extreme values of $x$ (as $x$ goes to infinity or negative infinity).