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

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

Step 1

Reorder $4 x^{2}$ and $4 x^{3}$ .

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

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.

$4 x^{3} \to 3$

$4 x^{2} \to 2$

The largest exponent is the degree of the polynomial.

$3$

Step 3

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

$4 x^{3}$

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.

$4 x^{3}$

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

$4$

Step 5

List the results.

Polynomial Degree: $3$

Leading Term: $4 x^{3}$

Leading Coefficient: $4$