Find the Degree, Leading Term, and Leading Coefficient 7x^13-x^9+9+2x^5

$7 x^{13} - x^{9} + 9 + 2 x^{5}$

Step 1

Move $9$ .

$7 x^{13} - x^{9} + 2 x^{5} + 9$

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.

$7 x^{13} \to 13$

$- x^{9} \to 9$

$2 x^{5} \to 5$

$9 \to 0$

The largest exponent is the degree of the polynomial.

$13$

Step 3

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

$7 x^{13}$

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.

$7 x^{13}$

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

$7$

Step 5

List the results.

Polynomial Degree: $13$

Leading Term: $7 x^{13}$

Leading Coefficient: $7$