Binomial expansion questions With Correct Accurate Answers Success Guaranteed.
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Course
BINOMIAL
Institution
BINOMIAL
1a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 + kx)⁷ where k is a constant - correct answer binomial expansion worked examples 1
1b) given that the coefficient of x² is 6 times the coefficient of x, find the value of...
1a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of (2 + kx)⁷ where k is a
constant - correct answer binomial expansion worked examples 1
1b) given that the coefficient of x² is 6 times the coefficient of x, find the value of k, where k is a non-
zero constant. - correct answer binomial expansion worked examples 1
2a) find the first 4 terms, in ascending powers of x, of the binomial expansion of (1-2x)⁵ - correct answer
binomial expansion worked examples 1
2b) if x is small, so that x² and higher powers can be ignored, show that: (1+x)(1-2x)⁵ ≈ 1-9x - correct
answer binomial expansion worked examples 1
3) the first three terms of (1+px)⁹ are 1, 36x and qx², where p and q are constants. Find the value of p
and q - correct answer binomial expansion worked examples 1
4) in the expansion of (1 + px)¹², the x coefficient is -q and the x² coefficient is 11q. p is a non zero
constant
find the value of p and q - correct answer binomial expansion worked examples 1
1a) find the first four terms in the binomial expansion of 1/(2+3x)² and state the range of values of x for
which each of these expansions is valid. - correct answer binomial expansion
worked examples 2
2a) in the binomial expansion of (2k + x)ⁿ, where k is a constant and n is a positive integer, the x² and x³
coefficients are equal.
Prove that n = 6k +2 - correct answer binomial expansion worked examples 2
2b) given that k = 2/3, expand (2k + x)ⁿ in ascending powers of x up to and including the term x³ - correct
answer binomial expansion worked examples 2
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