Find the Degree, Leading Term, and Leading Coefficient -5x^5+1/8-x^4

$- 5 x^{5} + \frac{1}{8} - x^{4}$

Step 1

Move $\frac{1}{8}$ .

$- 5 x^{5} - x^{4} + \frac{1}{8}$

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.

$- 5 x^{5} \to 5$

$- x^{4} \to 4$

$\frac{1}{8} \to 0$

The largest exponent is the degree of the polynomial.

$5$

Step 3

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

$- 5 x^{5}$

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.

$- 5 x^{5}$

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

$- 5$

Step 5

List the results.

Polynomial Degree: $5$

Leading Term: $- 5 x^{5}$

Leading Coefficient: $- 5$