Find the Degree, Leading Term, and Leading Coefficient 1-7x^2-1/7x^4

$1 - 7 x^{2} - \frac{1}{7} x^{4}$

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

Combine $x^{4}$ and $\frac{1}{7}$ .

$1 - 7 x^{2} - \frac{x^{4}}{7}$

Simplify the expression.

Move $1$ .

$- 7 x^{2} - \frac{x^{4}}{7} + 1$

Reorder $- 7 x^{2}$ and $- \frac{x^{4}}{7}$ .

$- \frac{x^{4}}{7} - 7 x^{2} + 1$

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.

$- \frac{x^{4}}{7} \to 4$

$- 7 x^{2} \to 2$

$1 \to 0$

The largest exponent is the degree of the polynomial.

$4$

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

$- \frac{x^{4}}{7}$

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.

$- \frac{x^{4}}{7}$

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

$- \frac{1}{7}$

List the results.

Polynomial Degree: $4$

Leading Term: $- \frac{x^{4}}{7}$

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