Find the Degree, Leading Term, and Leading Coefficient -7y-4z^5-6z^3x^4

$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$

Step 1

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Move $z^{3}$ .

$- 7 y - 4 z^{5} - 6 x^{4} z^{3}$

Move $- 7 y$ .

$- 4 z^{5} - 6 x^{4} z^{3} - 7 y$

Reorder $- 4 z^{5}$ and $- 6 x^{4} z^{3}$ .

$- 6 x^{4} z^{3} - 4 z^{5} - 7 y$

Step 2

The degree of a polynomial is the highest degree of its terms.

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$- 6 x^{4} z^{3} \to 7$

$- 4 z^{5} \to 5$

$- 7 y \to 1$

The largest exponent is the degree of the polynomial.

$7$

Step 3

The leading term in a polynomial is the term with the highest degree.

$- 6 x^{4} z^{3}$

Step 4

The leading coefficient of a polynomial is the coefficient of the leading term.

The leading term in a polynomial is the term with the highest degree.

$- 6 x^{4} z^{3}$

The leading coefficient in a polynomial is the coefficient of the leading term.

$- 6$

Step 5

List the results.

Polynomial Degree: $7$

Leading Term: $- 6 x^{4} z^{3}$

Leading Coefficient: $- 6$