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} $ .