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[DOC File]BINOMIAL EXPANSION INVESTIGATION
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The Binomial Theorem is used to expand out brackets of the form , where n is a whole number. n Coefficients 0 1 1 1 1 2 1 2 1 3 1 3 3 1 4 1 4 6 4 1
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[DOC File]Using Pascal’s Triangle to Expand Binomials
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Expanding Polynomials and Binomial Theorem Practice. IB Math SL. Review: The first four terms of a sequence are 18, 54, 162, 486. Use all four terms to show that this is a geometric sequence. Find an expression for the nth term of this geometric sequence. If the nth term of the sequence is …
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[DOC File]Section 4
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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. In this investigation you will explore PASCAL’S TRIANGLE. What relationships can you discover? Part A: Pascal’s Triangle. 1.
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Binomial theorem - Wikipedia
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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Binomial Theorem: 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:
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[DOC File]GCSE Maths - St Thomas More
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1 a Find the binomial expansion of in ascending powers of x up to and including the x2 term, simplifying each term. (4 marks) b State the set of values of x for which the expansion is valid. (1 mark) c. Show that when , the exact value of is . (2 marks) d. Substitute into the binomial expansion in part . a. and hence obtain an approximation to.
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[DOC File]Binomial Theorem - Weebly
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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]Binomial Theorem Worksheet
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Using the first three terms of the binomial expansion from part . a, or otherwise, find the probability that the number 4 is rolled at least 3 times. (5 marks) 5. where p and q are constants. Given that f(5) = 0 and f(−3) = 8. a. find the values of p and q. (7 marks) b. factorise f(x) …
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[DOC File]COMBINING DE MOIVRE’S THEOREM AND BINOMIAL …
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In the expansion of (x-2y)15. Find the term containing x10. In the expansion of (a3 + 2)20. Find the term containing a15. Title: Binomial Theorem Worksheet Author: nricca Last modified by: SARAH Created Date: 1/21/2013 6:09:00 PM Company: Pascack Valley Regional High School District Other titles: Binomial Theorem Worksheet ...
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[DOC File]The Binomial Expansion
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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 expansion theorem