5-7: The Binomial Theorem

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Presentation transcript:

5-7: The Binomial Theorem Warm-Up: Multiply

Expanding the power of a binomial (3 colors to write the expanded form) Row Power Expanded Form Coefficients Only

Pascal’s Triangle: A triangular array of numbers in which the first and last number in each row is 1. Each of the other numbers in the row is the sum of the two numbers above it. Row Pascal’s Triangle What is the expansion of ?

3) What is the expansion of (𝑥+3) 3 ? Binomial Theorem 3) What is the expansion of (𝑥+3) 3 ? 3) (2x)^4+4(2x)^3*(-3)+6(2x)^2*(-3)^2+4(2x)*(-3)^3+(-3)^4

4) Expand (𝑦−2) 5

5) Expand (2𝑥−3) 4

Home Work ~ TenMarks due 11/26 ~ pg.329 (9, 11, 12, 14, 17, 18)