An Interesting Quiz On Binomial Theorem
14 Questions
| Attempts: 545
What do you know of binomial theorem? It’s a formula for finding any power of a binomial without multiplying at length. It’s a mathematical theorem that gives the expansion of any binomial raised to a positive integral power. Binomial Theorem Quiz will help you understand how binomial theorem is used mathematically and also in real life situation. Good luck.
Questions and Answers
- 1.Find the 7th term of (2+x)^10.
- A.
3360x^6
- B.
3000x^6
- C.
4500x^7
- 2.Find the coeeficient of x in the expansion of (x-3/x)^9.
- A.
10500
- B.
10206
- C.
12100
- 3.Find the coefficient of x^6 in (1-3x)^8
- A.
20412
- B.
10512
- C.
23110
- 4.Obtain in descending powers of x the first four terms in the expansion of (2x-1)^6.
- 5.In the expansion of (x^3-2/x^2)^10, find the coefficient of 1/x^5.
- A.
13440
- B.
3360
- C.
-15360
- 6.Find the coefficient of x^3 in the expansion of (3-4x)(2-x/2)^7
- A.
435
- B.
-882
- C.
632
- 7.Who created the special triangle?
- 8.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
- 9.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
- 10.Find the coefficients of x^2 in the expansion of (1-2x)^5.
- A.
23
- B.
40
- C.
51
- 11.There is no difference between the power n and the expansion of the binomial theorem.
- A.
True
- B.
False
- 12.Find the term x^3 in the expansion of (1+5)^2(1-2x)^6.
- A.
150x^3
- B.
140x^3
- C.
91x^3
- 13.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
- 14.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
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