Find the Degree, Leading Term, and Leading Coefficient 4p^3-2pq^2+q

$4 p^{3} - 2 p q^{2} + q$

Step 1

Reorder $4 p^{3}$ and $- 2 p q^{2}$ .

$- 2 p q^{2} + 4 p^{3} + q$

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.

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

$4 p^{3} \to 3$

$q \to 1$

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$- 2 p q^{2}$

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.

$- 2 p q^{2}$

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

$- 2$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $- 2 p q^{2}$

Leading Coefficient: $- 2$