/
Binomial Theorem Keeper 10 Binomial Theorem Keeper 10

Binomial Theorem Keeper 10 - PowerPoint Presentation

trish-goza
trish-goza . @trish-goza
Follow
345 views
Uploaded On 2019-11-06

Binomial Theorem Keeper 10 - PPT Presentation

Binomial Theorem Keeper 10 Honors Algebra II What Is a Factorial Evaluate the Factorial   Evaluate the Factorial   Evaluate   Evaluate the Factorial   Evaluate   Evaluate   Evaluate   ID: 763917

binomial evaluate theorem expansion evaluate binomial expansion theorem expand factorial step left find term 3rd coefficients terms exponents polynomial

Share:

Link:

Embed:

Download Presentation from below link

Download Presentation The PPT/PDF document "Binomial Theorem Keeper 10" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.


Presentation Transcript

Binomial Theorem Keeper 10 Honor’s Algebra II

What Is a Factorial?

Evaluate the Factorial  

Evaluate the Factorial  

Evaluate:  

Evaluate the Factorial  

Evaluate:  

Evaluate:  

Evaluate:  

The Binomial Coefficient (Combination) Where n is the number of objects from which you can choose and k is the number to be chosen.  

Find the Binomial Coefficient  

Evaluate  

Evaluate  

Evaluate  

Evaluate  

In the binomial expansion theorem, the numbers, variables , & exponents follow a pattern! *Number of terms in your answer = n + 1 *Coefficients follow Pascal's Triangle of Coefficients *Each expansion will begin with "a" and end with "b" & In between them will be "sets" of "ab's" *Exponents will decrease for "a" from left to right and decrease for "b" from right to left *Exponents on each terms add up to the n value

How to set up the binomial expansion theorem: Step 1: Write out Pascal’s Triangle of Coefficients Step 2 : using the exponent, count down from left to right starting with “a” Step 3: Using the exponent, count down from right to left starting with “b” Step 4 : Simplify your terms

Expand the Following  

Expand the Following  

Expand the Following   ***When there is subtraction in the binomial, the signs should alternate!!!

Expand the Following  

Example: Find the 3rd term of the polynomial using The Binomial Expansion Theorem.  

Example: Find the Coefficient of the 3rd term of the polynomial using The Binomial Expansion Theorem.  

Example: Find the 3rd term of the polynomial using The Binomial Expansion Theorem.