Find the Degree, Leading Term, and Leading Coefficient 7x^3y^3+4-11x^5y^2-3x^2y

$7 x^{3} y^{3} + 4 - 11 x^{5} y^{2} - 3 x^{2} y$

Step 1

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

Move $4$ .

$7 x^{3} y^{3} - 11 x^{5} y^{2} - 3 x^{2} y + 4$

Reorder $7 x^{3} y^{3}$ and $- 11 x^{5} y^{2}$ .

$- 11 x^{5} y^{2} + 7 x^{3} y^{3} - 3 x^{2} y + 4$

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.

$- 11 x^{5} y^{2} \to 7$

$7 x^{3} y^{3} \to 6$

$- 3 x^{2} y \to 3$

$4 \to 0$

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.

$- 11 x^{5} y^{2}$

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.

$- 11 x^{5} y^{2}$

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

$- 11$

Step 5

List the results.

Polynomial Degree: $7$

Leading Term: $- 11 x^{5} y^{2}$

Leading Coefficient: $- 11$