Find the Degree, Leading Term, and Leading Coefficient h(x)=9x^6-5x^7+3x^2

$h (x) = 9 x^{6} - 5 x^{7} + 3 x^{2}$

Step 1

Reorder $9 x^{6}$ and $- 5 x^{7}$ .

$h (x) = - 5 x^{7} + 9 x^{6} + 3 x^{2}$

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.

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

$9 x^{6} \to 6$

$3 x^{2} \to 2$

The largest exponent is the degree of the polynomial.

$7$

Step 3

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

$- 5 x^{7}$

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.

$- 5 x^{7}$

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

$- 5$

Step 5

List the results.

Polynomial Degree: $7$

Leading Term: $- 5 x^{7}$

Leading Coefficient: $- 5$