Find the Degree, Leading Term, and Leading Coefficient -x+19x^2+1

$- x + 19 x^{2} + 1$

Step 1

Reorder $- x$ and $19 x^{2}$ .

$19 x^{2} - x + 1$

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.

$19 x^{2} \to 2$

$- x \to 1$

$1 \to 0$

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.

$19 x^{2}$

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.

$19 x^{2}$

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

$19$

Step 5

List the results.

Polynomial Degree: $2$

Leading Term: $19 x^{2}$

Leading Coefficient: $19$