Apply the Binomial Theorem

What you'll learn

1. Construct Pascal's Triangle and identify the binomial coefficients C(n, k) for any row n
2. Expand (x + y)ⁿ for small positive integers n using Pascal's Triangle, correctly applying the pattern of decreasing x-exponents and increasing y-exponents
3. Calculate binomial coefficients using the formula C(n, k) = n! / [k!(n-k)!] and connect these values to Pascal's Triangle entries
4. Identify and write specific terms of a binomial expansion without expanding the entire expression
5. Apply the Binomial Theorem to expressions like (a + b)⁵ or (2x - 3)⁴ involving non-unit coefficients

Prerequisites

• Perform polynomial operations