Find a coefficient in a binomial expansion
12th grade (Year 13 in England) · 16 questions · Common Core: HSA.APR.C.5 · England: A-level Pure Mathematics
Name
Date
Score/ 16
Question 1
Find the coefficient of x in the expansion of (1 + x)⁵.
Answer
Question 2
Find the term independent of x in (x + 1/x)⁸.
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Question 3
Find the coefficient of x in (1 − 2x)⁴.
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Question 4
Find the coefficient of x⁴ in the expansion of (1 + x)⁸.
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Question 5
Find the term independent of x in (x + 1/x)¹⁰.
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Question 6
Find the coefficient of x³ in (3 − x)⁴.
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Question 7
Find the coefficient of x³ in the expansion of (1 + x)⁴.
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Question 8
Find the term independent of x in (x + 1/x)⁶.
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Question 9
Find the coefficient of x⁴ in (3 + 3x)⁵.
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Question 10
Find the coefficient of x⁶ in the expansion of (1 + x)⁷.
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Question 11
Find the term independent of x in (x + 1/x)¹⁰.
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Question 12
Find the coefficient of x² in (3 − x)⁵.
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Question 13
Find the coefficient of x⁵ in the expansion of (1 + x)⁷.
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Question 14
Find the term independent of x in (x + 1/x)².
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Question 15
Find the coefficient of x⁴ in (1 + 2x)⁵.
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Question 16
Find the coefficient of x⁴ in the expansion of (1 + x)⁷.
Answer
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