Perform polynomial operations

What you'll learn

1. Add and subtract polynomials by combining like terms, including with multi-variable and higher-degree expressions
2. Multiply any two polynomials using the distributive property, recognizing FOIL as a special case for binomials
3. Explain why polynomials are closed under addition, subtraction, and multiplication but not division
4. Identify the degree and leading coefficient of the result of a polynomial operation
5. Verify polynomial operations by evaluating both the original expression and the result at specific values