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

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

Step 1

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.

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

$5 x^{4} \to 4$

$- 3 x \to 1$

The largest exponent is the degree of the polynomial.

$7$

Step 2

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

$- 2 x^{7}$

Step 3

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.

$- 2 x^{7}$

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

$- 2$

Step 4

List the results.

Polynomial Degree: $7$

Leading Term: $- 2 x^{7}$

Leading Coefficient: $- 2$