Find the Degree, Leading Term, and Leading Coefficient 1/2-x+x^5

$\frac{1}{2} - x + x^{5}$

Simplify the polynomial, then reorder it left to right starting with the highest degree term.

Move $\frac{1}{2}$ .

$- x + x^{5} + \frac{1}{2}$

Reorder $- x$ and $x^{5}$ .

$x^{5} - x + \frac{1}{2}$

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.

$x^{5} \to 5$

$- x \to 1$

$\frac{1}{2} \to 0$

The largest exponent is the degree of the polynomial.

$5$

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

$x^{5}$

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.

$x^{5}$

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

$1$

List the results.

Polynomial Degree: $5$

Leading Term: $x^{5}$

Leading Coefficient: $1$