Find the Degree, Leading Term, and Leading Coefficient 1/10x^3+1

$\frac{1}{10} x^{3} + 1$

Step 1

Combine $\frac{1}{10}$ and $x^{3}$ .

$\frac{x^{3}}{10} + 1$

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.

$\frac{x^{3}}{10} \to 3$

$1 \to 0$

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.

$\frac{x^{3}}{10}$

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.

$\frac{x^{3}}{10}$

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

$\frac{1}{10}$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $\frac{x^{3}}{10}$

Leading Coefficient: $\frac{1}{10}$