Find the Degree, Leading Term, and Leading Coefficient -10p^2q+7p^3q-5q

$- 10 p^{2} q + 7 p^{3} q - 5 q$

Step 1

Reorder $- 10 p^{2} q$ and $7 p^{3} q$ .

$7 p^{3} q - 10 p^{2} q - 5 q$

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.

$7 p^{3} q \to 4$

$- 10 p^{2} q \to 3$

$- 5 q \to 1$

The largest exponent is the degree of the polynomial.

$4$

Step 3

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

$7 p^{3} q$

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.

$7 p^{3} q$

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

$7$

Step 5

List the results.

Polynomial Degree: $4$

Leading Term: $7 p^{3} q$

Leading Coefficient: $7$