Binomial Theorem And Its Simple Applications Question 185

Question: The sum of coefficients in the expansion of $ {{(1+x+x^{2})}^{n}} $ is

[EAMCET 2002]

Options:

A) 2

B) $ 3^{n} $

C) $ 4^{n} $

D) $ 2^{n} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • We can obtain sum of coefficients by putting x = 1 in polynomial.

therefore $ {{(1+x+x^{2})}^{n}}={{(1+1+1)}^{n}}=3^{n} $ .