https://file.aiquickdraw.com/mathbot/file/17277316756452f3ciyvz.jpg

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**.

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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).

The degree of the polynomial is ___. The leading coefficient of the polynomial is ___.

Determine the degree and leading coefficient of a polynomial. In this example, the degree is based on the highest power of x, and the leading coefficient is the coefficient of the highest degree term. Ideal for students in Grades 9-12 learning polynomial properties.

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