Find the Degree, Leading Term, and Leading Coefficient -7x^2-9x^5+x-63

$- 7 x^{2} - 9 x^{5} + x - 63$

Step 1

Reorder $- 7 x^{2}$ and $- 9 x^{5}$ .

$- 9 x^{5} - 7 x^{2} + x - 63$

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.

$- 9 x^{5} \to 5$

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

$x \to 1$

$- 63 \to 0$

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.

$- 9 x^{5}$

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.

$- 9 x^{5}$

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

$- 9$

Step 5

List the results.

Polynomial Degree: $5$

Leading Term: $- 9 x^{5}$

Leading Coefficient: $- 9$