Find the Degree, Leading Term, and Leading Coefficient f(x)=4x-8x^4

$f (x) = 4 x - 8 x^{4}$

Step 1

Reorder $4 x$ and $- 8 x^{4}$ .

$f (x) = - 8 x^{4} + 4 x$

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.

$- 8 x^{4} \to 4$

$4 x \to 1$

The largest exponent is the degree of the polynomial.

$4$

Step 3

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

$- 8 x^{4}$

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.

$- 8 x^{4}$

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

$- 8$

Step 5

List the results.

Polynomial Degree: $4$

Leading Term: $- 8 x^{4}$

Leading Coefficient: $- 8$