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[DOC File]Using Pascal’s Triangle to Expand Binomials
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Binomial Expansion Worksheet 1. Name Period # Expand the following expressions using the Binomial Theorem. Circle your answers. 1) (4n + 3)3 2) (2a – 2)4 . 3) (b + 4)5 Use the Binomial Theorem to find the indicated term or coefficient. 4) The coefficient of x3 in the expansion of (x – 4)9 _____
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Binomial Theorem - Properties, Terms in Binomial Expansion, Exam…
Use the binomial expansion (a + b)n = to expand each of the following binomials. 1. (x + 2y)5 2. (2x – y)4 . 3. (3x – 5y)4 4. (2x + 5y)7 . 5. Find the fourth term in the expansion of (2x – 3y)7. 6. Find the sixth term in the expansion of (4x + 3y)12. 7. Find the fourteenth term in the expansion of (3x + 5y)27. 8.
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[DOC File]Binomial Theorem - Schoolworkout
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Write a binomial in the form (a + b)n that has 3 as the coefficient of the first term. 48. Use Pascal’s Triangle to determine the binomial of the expanded expression x6 + …
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[DOC File]The Binomial Expansion
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The binomial expansion is based on the summation of combination statements and varying powers of your binomial terms. (be careful with negative signs) Hint #1: Powers of each summation term will add to equal power of binomial expression (n) Hint #2: Combinations will always be paired with the power of the second term from the binomial (b) Hint #3:
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[DOC File]BINOMIAL EXPANSION INVESTIGATION
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COMBINING DE MOIVRE’S THEOREM AND BINOMIAL EXPANSIONS Author: Ministry of Education Last modified by: Philip Created Date: 6/27/2016 12:53:00 AM Company: Ministry of Education Other titles: COMBINING DE MOIVRE’S THEOREM AND BINOMIAL EXPANSIONS
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[DOC File]COMBINING DE MOIVRE’S THEOREM AND BINOMIAL …
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The expansion is: Example 2: Find the first 4 terms in the expansion . Solution: First note that . The first 4 coefficients from Pascal’s triangle are . So Example 3: Find the coefficient of in the expansion of . Solution: The value from Pascal’s triangle is . The actual term is . Revision Questions. Find the expansion of (3x – y)5
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[DOC File]Section 4
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Guided Exploration Practice: Name _____ Pascal’s Triangle/Binomial Theorem Investigation Goal: To explore an aspect of math with which you are not deeply familiar OR that you aren’t sure how it may connect to something that interests you.
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How to binomial expansion