Objective: Students will be able to apply the binomial theorem to expand a binomial. Do Now: Check your answers to the HW.
Binomial Expansion Definition: The process of writing a binomial raised to a positive power as a polynomial.
Example:
Binomial Theorem The formula below can be used to find all of the terms in a binomial expansion.
“The number of terms in the polynomial will always be one more than n.”
Binomial Theorem The formula below can be used to find all of the terms in a binomial expansion.
Example:
Patterns Example:
1 The second subscript of the combination function increases from zero to n. 2 The exponent of term a decreases from n to zero. 3 The exponent of term b increases from zero to n.
Example #1 simplest form.
Write the binomial expansion of (x + y)5 as a polynomial in
Example #2 simplest form.
Write the binomial expansion of (3x – 2)4 as a polynomial in
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