Find the Degree, Leading Term, and Leading Coefficient -7x+1/7x^5+1

$- 7 x + \frac{1}{7} x^{5} + 1$

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Combine $\frac{1}{7}$ and $x^{5}$ .

$- 7 x + \frac{x^{5}}{7} + 1$

Reorder $- 7 x$ and $\frac{x^{5}}{7}$ .

$\frac{x^{5}}{7} - 7 x + 1$

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.

$\frac{x^{5}}{7} \to 5$

$- 7 x \to 1$

$1 \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$\frac{x^{5}}{7}$

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.

$\frac{x^{5}}{7}$

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

$\frac{1}{7}$

List the results.

Polynomial Degree: $5$

Leading Term: $\frac{x^{5}}{7}$

Leading Coefficient: $\frac{1}{7}$