Find the Degree, Leading Term, and Leading Coefficient 1/2x^4-10

$\frac{1}{2} x^{4} - 10$

Step 1

Combine $\frac{1}{2}$ and $x^{4}$ .

$\frac{x^{4}}{2} - 10$

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.

$\frac{x^{4}}{2} \to 4$

$- 10 \to 0$

The largest exponent is the degree of the polynomial.

$4$

Step 3

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

$\frac{x^{4}}{2}$

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.

$\frac{x^{4}}{2}$

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

$\frac{1}{2}$

Step 5

List the results.

Polynomial Degree: $4$

Leading Term: $\frac{x^{4}}{2}$

Leading Coefficient: $\frac{1}{2}$