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

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

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

Move $9$ .

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

Move $6 x^{2}$ .

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

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.

$x^{5} \to 5$

$7 x^{3} \to 3$

$6 x^{2} \to 2$

$- 2 x \to 1$

$9 \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$x^{5}$

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.

$x^{5}$

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

$1$

List the results.

Polynomial Degree: $5$

Leading Term: $x^{5}$

Leading Coefficient: $1$