Find the Degree, Leading Term, and Leading Coefficient f(x)=4x+8x^4-7x^3

$f (x) = 4 x + 8 x^{4} - 7 x^{3}$

Step 1

Move $4 x$ .

$f (x) = 8 x^{4} - 7 x^{3} + 4 x$

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.

$8 x^{4} \to 4$

$- 7 x^{3} \to 3$

$4 x \to 1$

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: $8$