Binomial Theorem

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MCQ Questions on simple Binomial Theorem

  
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  • 1. 
    Obtain in descending powers of x the first four terms in the expansion of (2x-1)^6.

  • 2. 
    Find the 7th term of (2+x)^10.
    • A. 

      3360x^6

    • B. 

      3000x^6

    • C. 

      4500x^7


  • 3. 
    Find the coeeficient of x in the expansion of (x-3/x)^9.
    • A. 

      10500

    • B. 

      10206

    • C. 

      12100


  • 4. 
    Find the coefficient of x^6 in (1-3x)^8
    • A. 

      20412

    • B. 

      10512

    • C. 

      23110


  • 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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