Find the Degree, Leading Term, and Leading Coefficient f(x)=-2x^4-3x^2+2x+7x^5

$f (x) = - 2 x^{4} - 3 x^{2} + 2 x + 7 x^{5}$

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

Move $2 x$ .

$f (x) = - 2 x^{4} - 3 x^{2} + 7 x^{5} + 2 x$

Move $- 3 x^{2}$ .

$f (x) = - 2 x^{4} + 7 x^{5} - 3 x^{2} + 2 x$

Reorder $- 2 x^{4}$ and $7 x^{5}$ .

$f (x) = 7 x^{5} - 2 x^{4} - 3 x^{2} + 2 x$

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.

$7 x^{5} \to 5$

$- 2 x^{4} \to 4$

$- 3 x^{2} \to 2$

$2 x \to 1$

The largest exponent is the degree of the polynomial.

$5$

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

$7 x^{5}$

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.

$7 x^{5}$

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

$7$

List the results.

Polynomial Degree: $5$

Leading Term: $7 x^{5}$

Leading Coefficient: $7$