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What does Factorial mean? For example, what is 5 factorial (5!)?

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Presentation on theme: "What does Factorial mean? For example, what is 5 factorial (5!)?"— Presentation transcript:

1 What does Factorial mean? For example, what is 5 factorial (5!)?

2 End In Mind” Expand: (2x-7)4 Binomial Theorem

3 We begin with Pascal’s Triangle
The expression a + b is a binomial, the binomial theorem allows us to expand a binomial raised to any power. We begin with Pascal’s Triangle Do you notice the pattern? Can you add the next line?

4 Binomial Theorem What patterns do you notice?
Could you write a pattern for (x+y)5

5 *Do under Document Camera*
Applications

6 *Do under Document Camera*
End In Mind” Expand: (2x-7)4 Now try:

7 The general term Finding a particular term from a binomial expansion
*Do under Document Camera* The general term Finding a particular term from a binomial expansion n= the binomial’s exponent r= b’s exponent (one less than the term you’re on)


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