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

$3 x + x^{2}$

Step 1

Reorder $3 x$ and $x^{2}$ .

$x^{2} + 3 x$

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.

$x^{2} \to 2$

$3 x \to 1$

The largest exponent is the degree of the polynomial.

$2$

Step 3

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

$x^{2}$

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.

$x^{2}$

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

$1$

Step 5

List the results.

Polynomial Degree: $2$

Leading Term: $x^{2}$

Leading Coefficient: $1$