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

$f (x) = 3 x - 8$

Step 1

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.

$3 x \to 1$

$- 8 \to 0$

The largest exponent is the degree of the polynomial.

$1$

Step 2

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

$3 x$

Step 3

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.

$3 x$

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

$3$

Step 4

List the results.

Polynomial Degree: $1$

Leading Term: $3 x$

Leading Coefficient: $3$