Find the Degree, Leading Term, and Leading Coefficient 1/6+6x

$\frac{1}{6} + 6 x$

Step 1

Reorder $\frac{1}{6}$ and $6 x$ .

$6 x + \frac{1}{6}$

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.

$6 x \to 1$

$\frac{1}{6} \to 0$

The largest exponent is the degree of the polynomial.

$1$

Step 3

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

$6 x$

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.

$6 x$

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

$6$

Step 5

List the results.

Polynomial Degree: $1$

Leading Term: $6 x$

Leading Coefficient: $6$