Find the Degree, Leading Term, and Leading Coefficient -5x^20-7x^10+15

$- 5 x^{20} - 7 x^{10} + 15$

Step 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.

$- 5 x^{20} \to 20$

$- 7 x^{10} \to 10$

$15 \to 0$

The largest exponent is the degree of the polynomial.

$20$

Step 2

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

$- 5 x^{20}$

Step 3

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.

$- 5 x^{20}$

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

$- 5$

Step 4

List the results.

Polynomial Degree: $20$

Leading Term: $- 5 x^{20}$

Leading Coefficient: $- 5$