# Binomial Theorem

14 Questions  I  By YuXiang
MCQ Questions on simple Binomial Theorem

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 1 Find the 7th term of (2+x)^10.
 A. 3360x^6
 B. 3000x^6
 C. 4500x^7
 2 In the expansion of (x^3-2/x^2)^10, find the coefficient of 1/x^5.
 A. 13440
 B. 3360
 C. -15360
 3 Find the coefficients of x^2 in the expansion of (1-2x)^5.
 A. 23
 B. 40
 C. 51
 4 Who created the special triangle?
 5 In the expansion of (2+3x)^n, the coefficients of x^3 and x^4 are in the ratio of 8:15. Find the value of n.
 A. 10
 B. 8
 C. 3
 6 BINOMIAL , in mathematics, a word first introduced by Robert Recorde (1557) to denote a quantity composed of the sum or difference to two terms; as a+b, a-b.
 A. True
 B. False
 7 There is no difference between the power n and the expansion of the binomial theorem.
 A. True
 B. False
 8 Obtain in descending powers of x the first four terms in the expansion of (2x-1)^6.
 9 Find the coefficient of x^3 in the expansion of (3-4x)(2-x/2)^7
 A. 435
 B. -882
 C. 632
 10 Find the term x^3 in the expansion of (1+5)^2(1-2x)^6.
 A. 150x^3
 B. 140x^3
 C. 91x^3
 11 Find the coeeficient of x in the expansion of (x-3/x)^9.
 A. 10500
 B. 10206
 C. 12100
 12 With the help of this binomial theorem for positive integral index indices , we can expand any power of x + y into a sum of terms forming a polynomial.
 A. True
 B. False
 13 Find the coefficient of x^6 in (1-3x)^8
 A. 20412
 B. 10512
 C. 23110
 14 The binomial expansion of (1-b)^  is the same as that of (1+b)^n except that the coefficients have alternate + and - signs.
 A. True
 B. False
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