Polynomial Naming 20Ec32

1. **State the problem:** We are given the polynomial $$x^3y^2 - 3xy^3$$ and need to name it by its degree, number of terms, and leading coefficient. 2. **Identify the number of terms:** The polynomial has two terms: $$x^3y^2$$ and $$-3xy^3$$. Since it has two terms, it is called a **binomial**. 3. **Find the degree:** The degree of a term is the sum of the exponents of the variables in that term. - For $$x^3y^2$$, degree is $$3 + 2 = 5$$. - For $$-3xy^3$$, degree is $$1 + 3 = 4$$. The degree of the polynomial is the highest degree among its terms, which is $$5$$. 4. **Find the leading coefficient:** The leading term is the term with the highest degree, which is $$x^3y^2$$. The coefficient of this term is $$1$$ (since no number is written, it is understood to be 1). **Final answer:** - Degree: $$5$$ - Number of terms: $$2$$ - Name: Binomial - Leading Coefficient: $$1$$