Finding Binominal Expansions:a) What is the coefficient of x6 in the binomial expansion of (2+3x)9 b) What is the binomial expansion of (1+x)−2 up to and including the term in x2c) Find the binominal expansion of (1-2x)1/2 up to and including the term in x2. (ii) Then use the answers to both parts c and b to find the binomial expansion of √(1-2x) / (1+x)2 up to and including the term in x2.

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.6: Factoring Quadratic Trinomials

Problem 50HP

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Finding Binominal Expansions:

a) What is the coefficient of x⁶ in the binomial expansion of (2+3x)⁹

b) What is the binomial expansion of (1+x)⁻² up to and including the term in x²

c) Find the binominal expansion of (1-2x)^1/2 up to and including the term in x². (ii) Then use the answers to both parts c and b to find the binomial expansion of √(1-2x) / (1+x)² up to and including the term in x².

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Q2)

(i) Find the binomial expansion of (1+x)⁻² up to and including the term in x² as well as the binominal expansion of (1-2x)^1/2 up to and including the term in x².

(ii) Then both answers to find the binomial expansion of √(1-2x) / (1+x)² up to and including the term in x².

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