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[DOC File]Weebly
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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
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BINOMIAL THEOREM Author: mvusd Last modified by: mvusd Created Date: 2/9/2007 3:25:00 PM Other titles: BINOMIAL THEOREM ...
the binomial theorem worksheet

[DOC File]Using Pascal’s Triangle to Expand Binomials
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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: Combinations will always be paired with the power of the second term from the ...
using the binomial theorem

Binomial Theorem - MATH
We can use the Binomial Theorem to calculate e (Euler's number). e = 2.718281828459045... (the digits go on forever without repeating) It can be calculated using: (1 + 1/n) n (It gets more accurate the higher the value of n) That formula is a binomial, right? So let's use the Binomial Theorem: First, we can drop 1 n-k as it is always equal to 1:
the binomial theorem steps

[DOC File]The Binomial Expansion
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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.
the binomial theorem practice

[DOC File]Performance Task 2 - PC\|MAC
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Use the Binomial Theorem and Pascal’s triangle to write the binomial expansion for the volume of the dining room. _____ Find the dimensions of the bathroom in terms of x. (Hint the west and east side of the house should be equal.)_____ ...
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[DOC File]Section 4
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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 _____
binomial theorem expansion

[DOC File]COMBINING DE MOIVRE’S THEOREM AND BINOMIAL …
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Title: 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
the binomial theorem quizlet

[DOC File]Binomial Probability Worksheet II
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Binomial Probability Worksheet II. Given the number of trials and the probability of success, determine the probability indicated: 1. find P(2 successes) 2. find P(1 success) 3. find P(10 successes) 4. find P(11 successes) 5. find P(4 successes) 6. find P(3 failures) 7. find P(1 failure) 8. find P(at least 3 successes) 9. find P(no more than 3 ...
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[DOC File]Binomial Theorem - Schoolworkout
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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
the binomial theorem worksheet

The binomial theorem