Find the Degree, Leading Term, and Leading Coefficient W(t)=-x(x-3)

$W (t) = - x (x - 3)$

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

Apply the distributive property.

$W (t) = - x \cdot x - x \cdot - 3$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$W (t) = - (x \cdot x) - x \cdot - 3$

Multiply $x$ by $x$ .

$W (t) = - x^{2} - x \cdot - 3$

Multiply $- 3$ by $- 1$ .

$W (t) = - x^{2} + 3 x$

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.

$- x^{2} \to 2$

$3 x \to 1$

The largest exponent is the degree of the polynomial.

$2$

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

$- x^{2}$

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.

$- x^{2}$

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

$- 1$

List the results.

Polynomial Degree: $2$

Leading Term: $- x^{2}$

Leading Coefficient: $- 1$