Question

The sum of the coefficients of the polynomial ${{(1+x+{{x}^{2}}-4{{x}^{3}})}^{2149}}$ is

• A. $1$
• B. $-1$
• C. $2143$
• D. $2156$

Answer 1

Answer: (B)

$-1$

Answer 2

Given polynomial is ${{(1+x+{{x}^{2}}-4{{x}^{3}})}^{2149}}$ $\therefore$ Required sum $={{(1+1+1-4)}^{2149}}$ $={{(-1)}^{2149}}=-1$