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IB Math Binomial Investigational Desert Academy 201718Name:Date:Block:Patterns in Binomial Expansion1 Assessment Task: 1) Complete the following tasks and questions looking for any patterns. Show
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How to fill out patterns in binomial expansion1

01
To fill out patterns in binomial expansion, follow these steps:
02
Start by expanding the first term in the binomial expression.
03
Use the binomial coefficient formula, also known as Pascal's Triangle, to find the coefficients for each term.
04
Multiply each term with its corresponding coefficient.
05
Continue this process for the remaining terms in the binomial expression, keeping track of the exponents and coefficients.
06
Combine like terms by adding or subtracting them together.
07
Simplify the final expression to obtain the expanded form of the binomial.

Who needs patterns in binomial expansion1?

01
Patterns in binomial expansion are useful for mathematicians, students studying algebra, and individuals working with polynomials and equations.
02
They help in simplifying and manipulating expressions, finding specific terms or coefficients in the expansion, and solving various mathematical problems.
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Patterns in binomial expansion refer to the method used to expand binomial expressions, typically following the formula (a + b)^n.
Typically individuals studying algebra or calculus may be required to use patterns in binomial expansion.
To fill out patterns in binomial expansion, one must apply the binomial theorem and follow the steps to expand the expression.
The purpose of patterns in binomial expansion is to simplify and expand algebraic expressions involving binomials.
The information reported on patterns in binomial expansion includes the original binomial expression, the powers and coefficients used in the expansion, and the final expanded form.
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