Find the Degree, Leading Term, and Leading Coefficient 6c^2+2c^4-c

$6 c^{2} + 2 c^{4} - c$

Step 1

Reorder $6 c^{2}$ and $2 c^{4}$ .

$2 c^{4} + 6 c^{2} - c$

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.

$2 c^{4} \to 4$

$6 c^{2} \to 2$

$- c \to 1$

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.

$2 c^{4}$

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.

$2 c^{4}$

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

$2$

Step 5

List the results.

Polynomial Degree: $4$

Leading Term: $2 c^{4}$

Leading Coefficient: $2$