Find the Degree, Leading Term, and Leading Coefficient xy+3x^2-7+x

$x y + 3 x^{2} - 7 + x$

Move $- 7$ .

$x y + 3 x^{2} + x - 7$

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.

$x y \to 2$

$3 x^{2} \to 2$

$x \to 1$

$- 7 \to 0$

The largest exponent is the degree of the polynomial.

$2$

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

$x y$

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.

$x y$

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

$1$

List the results.

Polynomial Degree: $2$

Leading Term: $x y$

Leading Coefficient: $1$